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57122768604 = 223112716012657
BaseRepresentation
bin110101001100110010…
…000100011011011100
312110102222120022021110
4311030302010123130
51413441412043404
642124123102020
74061361343656
oct651462043334
9173388508243
1057122768604
112225334a580
12b0a2371910
13550462bac5
142a9c6c76d6
151744d5eb89
hexd4cc846dc

57122768604 has 96 divisors (see below), whose sum is σ = 146237801472. Its totient is φ = 17210880000.

The previous prime is 57122768587. The next prime is 57122768653. The reversal of 57122768604 is 40686722175.

It is a super-2 number, since 2×571227686042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21497644 + ... + 21500300.

It is an arithmetic number, because the mean of its divisors is an integer number (1523310432).

Almost surely, 257122768604 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 57122768604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73118900736).

57122768604 is an abundant number, since it is smaller than the sum of its proper divisors (89115032868).

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

57122768604 is a wasteful number, since it uses less digits than its factorization.

57122768604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 57122768604 in words is "fifty-seven billion, one hundred twenty-two million, seven hundred sixty-eight thousand, six hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 271 542 601 813 1084 1202 1626 1803 2404 2657 2981 3252 3606 5314 5962 6611 7212 7971 8943 10628 11924 13222 15942 17886 19833 26444 29227 31884 35772 39666 58454 79332 87681 116908 162871 175362 325742 350724 488613 651484 720047 977226 1440094 1596857 1791581 1954452 2160141 2880188 3193714 3583162 4320282 4790571 5374743 6387428 7166324 7920517 8640564 9581142 10749486 15841034 17565427 19162284 21498972 23761551 31682068 35130854 47523102 52696281 70261708 95046204 105392562 210785124 432748247 865496494 1298244741 1730992988 2596489482 4760230717 5192978964 9520461434 14280692151 19040922868 28561384302 57122768604