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153139686912 = 293315173363
BaseRepresentation
bin1000111010011111010…
…1100010111000000000
3112122021120100010122000
42032213311202320000
510002112224440122
6154203522544000
714030641601262
oct2164765427000
9478246303560
10153139686912
1159a453a7423
122581a208000
1311596b91674
1475aa759b32
153eb45670ac
hex23a7d62e00

153139686912 has 160 divisors (see below), whose sum is σ = 456312341760. Its totient is φ = 50707814400.

The previous prime is 153139686893. The next prime is 153139686913. The reversal of 153139686912 is 219686931351.

153139686912 is a `hidden beast` number, since 1 + 531 + 3 + 96 + 8 + 6 + 9 + 12 = 666.

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 (153139686913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2050743 + ... + 2124105.

It is an arithmetic number, because the mean of its divisors is an integer number (2851952136).

Almost surely, 2153139686912 is an apocalyptic number.

153139686912 is a gapful number since it is divisible by the number (12) 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 153139686912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228156170880).

153139686912 is an abundant number, since it is smaller than the sum of its proper divisors (303172654848).

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

153139686912 is an equidigital number, since it uses as much as digits as its factorization.

153139686912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73541 (or 73519 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

It can be divided in two parts, 15313968 and 6912, that added together give a triangular number (15320880 = T5535).

The spelling of 153139686912 in words is "one hundred fifty-three billion, one hundred thirty-nine million, six hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 151 192 216 256 288 302 384 432 453 512 576 604 768 864 906 1152 1208 1359 1536 1728 1812 2304 2416 2718 3456 3624 4077 4608 4832 5436 6912 7248 8154 9664 10872 13824 14496 16308 19328 21744 28992 32616 38656 43488 57984 65232 73363 77312 86976 115968 130464 146726 173952 220089 231936 260928 293452 347904 440178 521856 586904 660267 695808 880356 1043712 1173808 1320534 1760712 1980801 2087424 2347616 2641068 3521424 3961602 4695232 5282136 7042848 7923204 9390464 10564272 11077813 14085696 15846408 18780928 21128544 22155626 28171392 31692816 33233439 37561856 42257088 44311252 56342784 63385632 66466878 84514176 88622504 99700317 112685568 126771264 132933756 169028352 177245008 199400634 253542528 265867512 299100951 338056704 354490016 398801268 507085056 531735024 598201902 708980032 797602536 1014170112 1063470048 1196403804 1417960064 1595205072 2126940096 2392807608 2835920128 3190410144 4253880192 4785615216 5671840256 6380820288 8507760384 9571230432 12761640576 17015520768 19142460864 25523281152 38284921728 51046562304 76569843456 153139686912