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4957111296 = 210323117351
BaseRepresentation
bin1001001110111011…
…11000010000000000
3110210110200100022200
410213131320100000
540123010030141
62135520033200
7233561515344
oct44735702000
913713610280
104957111296
1121141840a5
12b64162800
1360ccc3267
143504d9624
151e02d3ab6
hex127778400

4957111296 has 132 divisors (see below), whose sum is σ = 14776130304. Its totient is φ = 1598976000.

The previous prime is 4957111241. The next prime is 4957111303. The reversal of 4957111296 is 6921117594.

4957111296 is a `hidden beast` number, since 49 + 571 + 11 + 29 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277021 + ... + 294371.

Almost surely, 24957111296 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 4957111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388065152).

4957111296 is an abundant number, since it is smaller than the sum of its proper divisors (9819019008).

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

4957111296 is a wasteful number, since it uses less digits than its factorization.

4957111296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17408 (or 17387 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 4957111296 is about 70406.7560394597. The cubic root of 4957111296 is about 1705.0726566390.

The spelling of 4957111296 in words is "four billion, nine hundred fifty-seven million, one hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2232 2304 2976 3072 3968 4464 4608 5952 7936 8928 9216 11904 15872 17351 17856 23808 31744 34702 35712 47616 52053 69404 71424 95232 104106 138808 142848 156159 208212 277616 285696 312318 416424 537881 555232 624636 832848 1075762 1110464 1249272 1613643 1665696 2151524 2220928 2498544 3227286 3331392 4303048 4441856 4840929 4997088 6454572 6662784 8606096 8883712 9681858 9994176 12909144 13325568 17212192 17767424 19363716 19988352 25818288 26651136 34424384 38727432 39976704 51636576 53302272 68848768 77454864 79953408 103273152 137697536 154909728 159906816 206546304 275395072 309819456 413092608 550790144 619638912 826185216 1239277824 1652370432 2478555648 4957111296