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57455266384 = 24177116631789
BaseRepresentation
bin110101100000100110…
…011100101001010000
312111022011012221111001
4311200212130221100
51420132022011014
642221121431344
74102536464155
oct654046345120
9174264187431
1057455266384
112240400002a
12b17579b554
135558497759
142ad091a22c
15176413c974
hexd6099ca50

57455266384 has 80 divisors (see below), whose sum is σ = 119666626560. Its totient is φ = 26626037760.

The previous prime is 57455266343. The next prime is 57455266409. The reversal of 57455266384 is 48366255475.

It is a super-3 number, since 3×574552663843 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32114962 + ... + 32116750.

It is an arithmetic number, because the mean of its divisors is an integer number (1495832832).

Almost surely, 257455266384 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 57455266384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59833313280).

57455266384 is an abundant number, since it is smaller than the sum of its proper divisors (62211360176).

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

57455266384 is a wasteful number, since it uses less digits than its factorization.

57455266384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 3542 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 55.

The spelling of 57455266384 in words is "fifty-seven billion, four hundred fifty-five million, two hundred sixty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 568 1136 1207 1663 1789 2414 3326 3578 4828 6652 7156 9656 13304 14312 19312 26608 28271 28624 30413 56542 60826 113084 118073 121652 127019 226168 236146 243304 254038 452336 472292 486608 508076 944584 1016152 1889168 2007241 2032304 2159323 2975107 4014482 4318646 5950214 8028964 8637292 11900428 16057928 17274584 23800856 32115856 34549168 47601712 50576819 101153638 202307276 211232597 404614552 422465194 809229104 844930388 1689860776 3379721552 3590954149 7181908298 14363816596 28727633192 57455266384