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57059324352 = 2632271936433
BaseRepresentation
bin110101001001000000…
…000011000111000000
312110021120012000010100
4311021000003013000
51413324141334402
642113535202400
74056661153212
oct651100030700
9173246160110
1057059324352
1122220556a08
12b085076400
1354c4447224
142a940d05b2
15173e4cb71c
hexd490031c0

57059324352 has 84 divisors (see below), whose sum is σ = 163614892480. Its totient is φ = 19012257792.

The previous prime is 57059324341. The next prime is 57059324363. The reversal of 57059324352 is 25342395075.

57059324352 is a `hidden beast` number, since 5 + 7 + 0 + 593 + 2 + 4 + 3 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (57059324341) and next prime (57059324363).

It is a junction number, because it is equal to n+sod(n) for n = 57059324298 and 57059324307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1547928 + ... + 1584360.

Almost surely, 257059324352 is an apocalyptic number.

It is an amenable number.

57059324352 is an abundant number, since it is smaller than the sum of its proper divisors (106555568128).

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

57059324352 is a wasteful number, since it uses less digits than its factorization.

57059324352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39170 (or 39157 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 57059324352 in words is "fifty-seven billion, fifty-nine million, three hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2719 5438 8157 10876 16314 21752 24471 32628 36433 43504 48942 65256 72866 87008 97884 109299 130512 145732 174016 195768 218598 261024 291464 327897 391536 437196 522048 582928 655794 783072 874392 1165856 1311588 1566144 1748784 2331712 2623176 3497568 5246352 6995136 10492704 20985408 99061327 198122654 297183981 396245308 594367962 792490616 891551943 1188735924 1584981232 1783103886 2377471848 3169962464 3566207772 4754943696 6339924928 7132415544 9509887392 14264831088 19019774784 28529662176 57059324352