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297139890528 = 253213661120067
BaseRepresentation
bin1000101001011101110…
…10101110100101100000
31001101222012010102010200
410110232322232211200
514332020302444103
6344300523025200
730316255252635
oct4245672564540
91041865112120
10297139890528
1110501a7a3768
124970766b200
1322035416940
141054b35218c
157ae154e0a3
hex452eeae960

297139890528 has 144 divisors (see below), whose sum is σ = 911375193456. Its totient is φ = 91288581120.

The previous prime is 297139890527. The next prime is 297139890563. The reversal of 297139890528 is 825098931792.

297139890528 is a `hidden beast` number, since 2 + 9 + 7 + 13 + 9 + 8 + 90 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2971398905282 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (297139890527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2414751 + ... + 2534817.

It is an arithmetic number, because the mean of its divisors is an integer number (6328994399).

Almost surely, 2297139890528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 297139890528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455687596728).

297139890528 is an abundant number, since it is smaller than the sum of its proper divisors (614235302928).

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

297139890528 is a wasteful number, since it uses less digits than its factorization.

297139890528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120757 (or 120746 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 297139890528 in words is "two hundred ninety-seven billion, one hundred thirty-nine million, eight hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 661 936 1248 1322 1872 1983 2644 3744 3966 5288 5949 7932 8593 10576 11898 15864 17186 21152 23796 25779 31728 34372 47592 51558 63456 68744 77337 95184 103116 120067 137488 154674 190368 206232 240134 274976 309348 360201 412464 480268 618696 720402 824928 960536 1080603 1237392 1440804 1560871 1921072 2161206 2474784 2881608 3121742 3842144 4322412 4682613 5763216 6243484 8644824 9365226 11526432 12486968 14047839 17289648 18730452 24973936 28095678 34579296 37460904 49947872 56191356 74921808 79364287 112382712 149843616 158728574 224765424 238092861 317457148 449530848 476185722 634914296 714278583 952371444 1031735731 1269828592 1428557166 1904742888 2063471462 2539657184 2857114332 3095207193 3809485776 4126942924 5714228664 6190414386 7618971552 8253885848 9285621579 11428457328 12380828772 16507771696 18571243158 22856914656 24761657544 33015543392 37142486316 49523315088 74284972632 99046630176 148569945264 297139890528