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3275711387136 = 29331733136733
BaseRepresentation
bin101111101010101111100…
…111010001011000000000
3102121011011221212221002000
4233222233213101120000
5412132124103342021
610544501355224000
7455443116244146
oct57525747213000
912534157787060
103275711387136
111053248753701
1244aa31148000
131a9b8a620726
14b478c351596
155a31e901b26
hex2faaf9d1600

3275711387136 has 160 divisors (see below), whose sum is σ = 9701999255520. Its totient is φ = 1091265748992.

The previous prime is 3275711387131. The next prime is 3275711387189. The reversal of 3275711387136 is 6317831175723.

3275711387136 is a `hidden beast` number, since 3 + 2 + 7 + 571 + 1 + 38 + 7 + 1 + 36 = 666.

3275711387136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3275711387131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23888626 + ... + 24025358.

It is an arithmetic number, because the mean of its divisors is an integer number (60637495347).

Almost surely, 23275711387136 is an apocalyptic number.

3275711387136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3275711387136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850999627760).

3275711387136 is an abundant number, since it is smaller than the sum of its proper divisors (6426287868384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3275711387136 is a wasteful number, since it uses less digits than its factorization.

3275711387136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138493 (or 138471 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The spelling of 3275711387136 in words is "three trillion, two hundred seventy-five billion, seven hundred eleven million, three hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 1733 2304 3456 3466 4608 5199 6912 6932 10398 13824 13864 15597 20796 27728 31194 41592 46791 55456 62388 83184 93582 110912 124776 136733 166368 187164 221824 249552 273466 332736 374328 410199 443648 499104 546932 665472 748656 820398 887296 998208 1093864 1230597 1330944 1497312 1640796 1996416 2187728 2461194 2661888 2994624 3281592 3691791 3992832 4375456 4922388 5989248 6563184 7383582 7985664 8750912 9844776 11978496 13126368 14767164 17501824 19689552 23956992 26252736 29534328 35003648 39379104 52505472 59068656 70007296 78758208 105010944 118137312 157516416 210021888 236274624 236958289 315032832 472549248 473916578 630065664 710874867 945098496 947833156 1421749734 1890196992 1895666312 2132624601 2843499468 3791332624 4265249202 5686998936 6397873803 7582665248 8530498404 11373997872 12795747606 15165330496 17060996808 22747995744 25591495212 30330660992 34121993616 45495991488 51182990424 60661321984 68243987232 90991982976 102365980848 121322643968 136487974464 181983965952 204731961696 272975948928 363967931904 409463923392 545951897856 818927846784 1091903795712 1637855693568 3275711387136