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57906880901628 = 223112835572783009
BaseRepresentation
bin11010010101010011111110…
…00100001111000111111100
321121000211210002112100021220
431022221333010033013330
530042221243002323003
6323054015343553340
715124430330233503
oct1512517704170774
9247024702470256
1057906880901628
11174a6196704490
1265b28a92bb850
132640798240c15
1410429caa1d83a
156a64569cb353
hex34aa7f10f1fc

57906880901628 has 96 divisors (see below), whose sum is σ = 148185798001920. Its totient is φ = 17454135613440.

The previous prime is 57906880901627. The next prime is 57906880901629. The reversal of 57906880901628 is 82610908860975.

It is an interprime number because it is at equal distance from previous prime (57906880901627) and next prime (57906880901629).

It is a super-2 number, since 2×579068809016282 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57906880901627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19415788 + ... + 22198796.

It is an arithmetic number, because the mean of its divisors is an integer number (1543602062520).

Almost surely, 257906880901628 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 57906880901628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74092899000960).

57906880901628 is an abundant number, since it is smaller than the sum of its proper divisors (90278917100292).

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

57906880901628 is a wasteful number, since it uses less digits than its factorization.

57906880901628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783867 (or 2783865 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 69.

The spelling of 57906880901628 in words is "fifty-seven trillion, nine hundred six billion, eight hundred eighty million, nine hundred one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 283 557 566 849 1114 1132 1671 1698 2228 3113 3342 3396 6127 6226 6684 9339 12254 12452 18381 18678 24508 36762 37356 73524 157631 315262 472893 630524 945786 1733941 1891572 2783009 3467882 5201823 5566018 6935764 8349027 10403646 11132036 16698054 20807292 30613099 33396108 61226198 91839297 122452396 183678594 367357188 787591547 1550136013 1575183094 2362774641 3100272026 3150366188 4650408039 4725549282 6200544052 8663507017 9300816078 9451098564 17051496143 17327014034 18601632156 25990521051 34102992286 34654028068 51154488429 51981042102 68205984572 102308976858 103962084204 204617953716 438688491679 877376983358 1316065475037 1754753966716 2632130950074 4825573408469 5264261900148 9651146816938 14476720225407 19302293633876 28953440450814 57906880901628