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57375300576 = 25311148336637
BaseRepresentation
bin110101011011110101…
…011001101111100000
312111002120202021000110
4311123311121233200
51420001034104301
642205143451320
74100546002536
oct653365315740
9174076667013
1057375300576
1122372952590
12b152a56b40
135544a49ac9
142ac4062156
15175c0e40d6
hexd5bd59be0

57375300576 has 96 divisors (see below), whose sum is σ = 164417275008. Its totient is φ = 17374256640.

The previous prime is 57375300571. The next prime is 57375300581. The reversal of 57375300576 is 67500357375.

It is an interprime number because it is at equal distance from previous prime (57375300571) and next prime (57375300581).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57375300571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1547730 + ... + 1584366.

It is an arithmetic number, because the mean of its divisors is an integer number (1712679948).

Almost surely, 257375300576 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 57375300576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82208637504).

57375300576 is an abundant number, since it is smaller than the sum of its proper divisors (107041974432).

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

57375300576 is a wasteful number, since it uses less digits than its factorization.

57375300576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38144 (or 38136 counting only the distinct ones).

The product of its (nonzero) digits is 2315250, while the sum is 48.

The spelling of 57375300576 in words is "fifty-seven billion, three hundred seventy-five million, three hundred thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1483 2966 4449 5932 8898 11864 16313 17796 23728 32626 35592 36637 47456 48939 65252 71184 73274 97878 109911 130504 142368 146548 195756 219822 261008 293096 391512 403007 439644 522016 586192 783024 806014 879288 1172384 1209021 1566048 1612028 1758576 2418042 3224056 3517152 4836084 6448112 9672168 12896224 19344336 38688672 54332671 108665342 162998013 217330684 325996026 434661368 597659381 651992052 869322736 1195318762 1303984104 1738645472 1792978143 2390637524 2607968208 3585956286 4781275048 5215936416 7171912572 9562550096 14343825144 19125100192 28687650288 57375300576