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57254058377028 = 2232171791597327263
BaseRepresentation
bin11010000010010011111111…
…10011111011111101000100
321111201102201202210000022200
431001021333303323331010
530001022302421031103
6321434052403354500
715026316640312152
oct1501117763737504
9244642652700280
1057254058377028
1117274345386387
126508278382a30
1325c405ab5b1c6
14101d17b2403d2
156944995d00a3
hex34127fcfbf44

57254058377028 has 144 divisors (see below), whose sum is σ = 154191847380480. Its totient is φ = 17850471754752.

The previous prime is 57254058377027. The next prime is 57254058377081. The reversal of 57254058377028 is 82077385045275.

It is a happy number.

57254058377028 is a `hidden beast` number, since 5 + 7 + 2 + 5 + 40 + 583 + 7 + 7 + 0 + 2 + 8 = 666.

It is a super-2 number, since 2×572540583770282 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57254058377027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174784525 + ... + 175111787.

It is an arithmetic number, because the mean of its divisors is an integer number (1070776717920).

Almost surely, 257254058377028 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 57254058377028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77095923690240).

57254058377028 is an abundant number, since it is smaller than the sum of its proper divisors (96937789003452).

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

57254058377028 is a wasteful number, since it uses less digits than its factorization.

57254058377028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329066 (or 329061 counting only the distinct ones).

The product of its (nonzero) digits is 131712000, while the sum is 63.

The spelling of 57254058377028 in words is "fifty-seven trillion, two hundred fifty-four billion, fifty-eight million, three hundred seventy-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 179 204 306 358 537 612 716 1074 1597 1611 2148 3043 3194 3222 4791 6086 6388 6444 9129 9582 12172 14373 18258 19164 27149 27387 28746 36516 54298 54774 57492 81447 108596 109548 162894 244341 285863 325788 327263 488682 571726 654526 857589 977364 981789 1143452 1309052 1715178 1963578 2572767 2945367 3430356 3927156 4859671 5145534 5563471 5890734 9719342 10291068 11126942 11781468 14579013 16690413 19438684 22253884 29158026 33380826 43737039 50071239 58316052 58580077 66761652 87474078 100142478 117160154 174948156 175740231 200284956 234320308 351480462 522639011 527220693 702960924 995861309 1045278022 1054441386 1567917033 1991722618 2090556044 2108882772 2987583927 3135834066 3983445236 4703751099 5975167854 6271668132 8884863187 8962751781 9407502198 11950335708 17769726374 17925503562 18815004396 26654589561 35539452748 35851007124 53309179122 79963768683 93552382969 106618358244 159927537366 187104765938 280657148907 319855074732 374209531876 561314297814 841971446721 1122628595628 1590390510473 1683942893442 3180781020946 3367885786884 4771171531419 6361562041892 9542343062838 14313514594257 19084686125676 28627029188514 57254058377028