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57479363800464 = 2434061712948233
BaseRepresentation
bin11010001000110111101010…
…00011111010110110010000
321112111222021200200101211010
431010123311003322312100
530013220214113103324
6322125353304450520
715051514134645654
oct1504336503726620
9245458250611733
1057479363800464
1117350952421771
126543a76779a40
13260c385a600c8
14102a032090a64
1569a284457829
hex3446f50fad90

57479363800464 has 40 divisors (see below), whose sum is σ = 148488772430752. Its totient is φ = 19159734263040.

The previous prime is 57479363800381. The next prime is 57479363800511. The reversal of 57479363800464 is 46400836397475.

57479363800464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57479363800395 and 57479363800404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18022092 + ... + 20970324.

Almost surely, 257479363800464 is an apocalyptic number.

It is an amenable number.

57479363800464 is an abundant number, since it is smaller than the sum of its proper divisors (91009408630288).

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

57479363800464 is a wasteful number, since it uses less digits than its factorization.

57479363800464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354415 (or 3354409 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 66.

The spelling of 57479363800464 in words is "fifty-seven trillion, four hundred seventy-nine billion, three hundred sixty-three million, eight hundred thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 406171 812342 1218513 1624684 2437026 2948233 3249368 4874052 5896466 6498736 8844699 9748104 11792932 17689398 19496208 23585864 35378796 47171728 70757592 141515184 1197486745843 2394973491686 3592460237529 4789946983372 7184920475058 9579893966744 14369840950116 19159787933488 28739681900232 57479363800464