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57401826680 = 235111713275783
BaseRepresentation
bin110101011101011010…
…100101110101111000
312111011102122220222202
4311131122211311320
51420024331423210
642211532205332
74101320322242
oct653532456570
9174142586882
1057401826680
112238691aa90
12b15b909848
13554a3a6823
142ac77a9092
15175e5d39a5
hexd5d6a5d78

57401826680 has 128 divisors (see below), whose sum is σ = 149321594880. Its totient is φ = 19627345920.

The previous prime is 57401826631. The next prime is 57401826683. The reversal of 57401826680 is 8662810475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57401826683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9923069 + ... + 9928851.

It is an arithmetic number, because the mean of its divisors is an integer number (1166574960).

Almost surely, 257401826680 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 57401826680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74660797440).

57401826680 is an abundant number, since it is smaller than the sum of its proper divisors (91919768200).

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

57401826680 is a wasteful number, since it uses less digits than its factorization.

57401826680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7149 (or 7145 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 57401826680 in words is "fifty-seven billion, four hundred one million, eight hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1327 1496 1870 2654 3740 5308 5783 6635 7480 10616 11566 13270 14597 22559 23132 26540 28915 29194 45118 46264 53080 57830 58388 63613 72985 90236 98311 112795 115660 116776 127226 145970 180472 196622 225590 231320 248149 254452 291940 318065 393244 451180 491555 496298 508904 583880 636130 786488 902360 983110 992596 1081421 1240745 1272260 1966220 1985192 2162842 2481490 2544520 3932440 4325684 4962980 5407105 7674041 8651368 9925960 10814210 15348082 21628420 30696164 38370205 43256840 61392328 76740410 84414451 130458697 153480820 168828902 260917394 306961640 337657804 422072255 521834788 652293485 675315608 844144510 1043669576 1304586970 1435045667 1688289020 2609173940 2870091334 3376578040 5218347880 5740182668 7175228335 11480365336 14350456670 28700913340 57401826680