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57057348012 = 22372279293221
BaseRepresentation
bin110101001000111000…
…100000100110101100
312110021102110121002120
4311020320200212230
51413323140114022
642113424552540
74056635312250
oct651070404654
9173242417076
1057057348012
112221a427075
12b084482750
1354c3c047b2
142a93b38260
15173e23ad5c
hexd48e209ac

57057348012 has 96 divisors (see below), whose sum is σ = 153035205120. Its totient is φ = 16207779840.

The previous prime is 57057347987. The next prime is 57057348037. The reversal of 57057348012 is 21084375075.

It is an interprime number because it is at equal distance from previous prime (57057347987) and next prime (57057348037).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 17712562 + ... + 17715782.

It is an arithmetic number, because the mean of its divisors is an integer number (1594116720).

Almost surely, 257057348012 is an apocalyptic number.

It is an amenable number.

57057348012 is an abundant number, since it is smaller than the sum of its proper divisors (95977857108).

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

57057348012 is a wasteful number, since it uses less digits than its factorization.

57057348012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 57057348012 in words is "fifty-seven billion, fifty-seven million, three hundred forty-eight thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 227 454 681 908 929 1362 1589 1858 2724 2787 3178 3221 3716 4767 5574 6356 6442 6503 9534 9663 11148 12884 13006 19068 19326 19509 22547 26012 38652 39018 45094 67641 78036 90188 135282 210883 270564 421766 632649 731167 843532 1265298 1462334 1476181 2193501 2530596 2924668 2952362 2992309 4387002 4428543 5118169 5904724 5984618 8774004 8857086 8976927 10236338 11969236 15354507 17714172 17953854 20472676 20946163 30709014 35907708 41892326 61418028 62838489 83784652 125676978 251353956 679254143 1358508286 2037762429 2717016572 4075524858 4754779001 8151049716 9509558002 14264337003 19019116004 28528674006 57057348012