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257090029260 = 223531671352963
BaseRepresentation
bin1110111101101111000…
…0101000011011001100
3220120121001020122211120
43233123300220123030
513203010021414020
6314034443320540
724400634123001
oct3573360503314
9816531218746
10257090029260
119a03868a169
12419aab20150
131b321c2718c
14c62c2c58a8
156a4a4b8740
hex3bdbc286cc

257090029260 has 48 divisors (see below), whose sum is σ = 720079911936. Its totient is φ = 68535643072.

The previous prime is 257090029241. The next prime is 257090029307. The reversal of 257090029260 is 62920090752.

It is a super-2 number, since 2×2570900292602 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486462 + ... + 866501.

It is an arithmetic number, because the mean of its divisors is an integer number (15001664832).

Almost surely, 2257090029260 is an apocalyptic number.

257090029260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257090029260 is an abundant number, since it is smaller than the sum of its proper divisors (462989882676).

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

257090029260 is a wasteful number, since it uses less digits than its factorization.

257090029260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356142 (or 1356140 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 257090029260 in words is "two hundred fifty-seven billion, ninety million, twenty-nine thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3167 6334 9501 12668 15835 19002 31670 38004 47505 63340 95010 190020 1352963 2705926 4058889 5411852 6764815 8117778 13529630 16235556 20294445 27059260 40588890 81177780 4284833821 8569667642 12854501463 17139335284 21424169105 25709002926 42848338210 51418005852 64272507315 85696676420 128545014630 257090029260