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57125110252 = 22729314155351
BaseRepresentation
bin110101001100111011…
…000000000111101100
312110110010222021102011
4311030323000013230
51413443012012002
642124245211004
74061420265640
oct651473000754
9173403867364
1057125110252
11222546a9921
12b0a3100a64
135504c6b8b2
142a9cb36c20
1517451738d7
hexd4cec01ec

57125110252 has 96 divisors (see below), whose sum is σ = 124980387840. Its totient is φ = 22317120000.

The previous prime is 57125110249. The next prime is 57125110271. The reversal of 57125110252 is 25201152175.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 1004377 + ... + 1059727.

It is an arithmetic number, because the mean of its divisors is an integer number (1301879040).

Almost surely, 257125110252 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 57125110252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62490193920).

57125110252 is an abundant number, since it is smaller than the sum of its proper divisors (67855277588).

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

57125110252 is a wasteful number, since it uses less digits than its factorization.

57125110252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55463 (or 55461 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 31.

The spelling of 57125110252 in words is "fifty-seven billion, one hundred twenty-five million, one hundred ten thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 29 31 41 58 62 82 116 124 164 203 217 287 406 434 574 812 868 899 1148 1189 1271 1798 2378 2542 3596 4756 5084 6293 8323 8897 12586 16646 17794 25172 33292 35588 36859 55351 73718 110702 147436 221404 258013 387457 516026 774914 1032052 1549828 1605179 1715881 2269391 3210358 3431762 4538782 6420716 6863524 9077564 11236253 12011167 15885737 22472506 24022334 31771474 44945012 48044668 49760549 63542948 65812339 70351121 99521098 131624678 140702242 199042196 263249356 281404484 348323843 460686373 492457847 696647686 921372746 984915694 1393295372 1842745492 1969831388 2040182509 4080365018 8160730036 14281277563 28562555126 57125110252