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257013134334 = 232115387240959
BaseRepresentation
bin1110111101011100101…
…1010011001111111110
3220120101200112222211100
43233113023103033332
513202330330244314
6314023055233530
724366011411355
oct3572713231776
9816350488740
10257013134334
1199aa9239940
12419892188a6
131b30c013218
14c621dca99c
156a43879c09
hex3bd72d33fe

257013134334 has 48 divisors (see below), whose sum is σ = 607600880640. Its totient is φ = 77867987280.

The previous prime is 257013134327. The next prime is 257013134363. The reversal of 257013134334 is 433431310752.

257013134334 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 1 + 313 + 4 + 334 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 946147 + ... + 1187105.

It is an arithmetic number, because the mean of its divisors is an integer number (12658351680).

Almost surely, 2257013134334 is an apocalyptic number.

257013134334 is an abundant number, since it is smaller than the sum of its proper divisors (350587746306).

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

257013134334 is a wasteful number, since it uses less digits than its factorization.

257013134334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246365 (or 246362 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 257013134334 in words is "two hundred fifty-seven billion, thirteen million, one hundred thirty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 5387 10774 16161 32322 48483 59257 96966 118514 177771 240959 355542 481918 533313 722877 1066626 1445754 2168631 2650549 4337262 5301098 7951647 15903294 23854941 47709882 1298046133 2596092266 3894138399 7788276798 11682415197 14278507463 23364830394 28557014926 42835522389 85671044778 128506567167 257013134334