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257693435628 = 223431796434339
BaseRepresentation
bin1110111111111110111…
…0011100011011101100
3220122011002122212202120
43233333232130123230
513210224004420003
6314214400352540
724421612030146
oct3577756343354
9818132585676
10257693435628
119a318254312
1241b39015750
131b3b9c46375
14c6884b7c96
156a8345a853
hex3bffb9c6ec

257693435628 has 96 divisors (see below), whose sum is σ = 619810329600. Its totient is φ = 83282520384.

The previous prime is 257693435567. The next prime is 257693435669. The reversal of 257693435628 is 826534396752.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59387883 + ... + 59392221.

It is an arithmetic number, because the mean of its divisors is an integer number (6456357600).

Almost surely, 2257693435628 is an apocalyptic number.

It is an amenable number.

257693435628 is an abundant number, since it is smaller than the sum of its proper divisors (362116893972).

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

257693435628 is a wasteful number, since it uses less digits than its factorization.

257693435628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5211 (or 5209 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 60.

The spelling of 257693435628 in words is "two hundred fifty-seven billion, six hundred ninety-three million, four hundred thirty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 43 86 129 172 179 258 358 516 537 643 716 1074 1286 1929 2148 2572 3858 4339 7697 7716 8678 13017 15394 17356 23091 26034 27649 30788 46182 52068 55298 82947 92364 110596 115097 165894 186577 230194 331788 345291 373154 460388 559731 690582 746308 776681 1119462 1381164 1553362 2238924 2330043 2789977 3106724 4660086 4949171 5579954 8369931 9320172 9898342 11159908 14847513 16739862 19796684 29695026 33397283 33479724 59390052 66794566 100191849 119969011 133589132 200383698 239938022 359907033 400767396 479876044 499405883 719814066 998811766 1439628132 1498217649 1997623532 2996435298 5992870596 21474452969 42948905938 64423358907 85897811876 128846717814 257693435628