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56582029312 = 214311011103
BaseRepresentation
bin110100101100100011…
…010100000000000000
312102001022001220102021
4310230203110000000
51411334444414222
641554325131224
74042104212404
oct645443240000
9172038056367
1056582029312
1121aa60980a6
12ab71259b14
1354495b1823
142a4a969104
15171264aac7
hexd2c8d4000

56582029312 has 120 divisors (see below), whose sum is σ = 118074442752. Its totient is φ = 27082752000.

The previous prime is 56582029303. The next prime is 56582029337. The reversal of 56582029312 is 21392028565.

It is a super-4 number, since 4×565820293124 (a number of 44 digits) contains 4444 as substring.

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 7 ways as a sum of consecutive naturals, for example, 51297753 + ... + 51298855.

Almost surely, 256582029312 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 56582029312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59037221376).

56582029312 is an abundant number, since it is smaller than the sum of its proper divisors (61492413440).

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

56582029312 is a wasteful number, since it uses less digits than its factorization.

56582029312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 56582029312 in words is "fifty-six billion, five hundred eighty-two million, twenty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 101 124 128 202 248 256 404 496 512 808 992 1024 1103 1616 1984 2048 2206 3131 3232 3968 4096 4412 6262 6464 7936 8192 8824 12524 12928 15872 16384 17648 25048 25856 31744 34193 35296 50096 51712 63488 68386 70592 100192 103424 111403 126976 136772 141184 200384 206848 222806 253952 273544 282368 400768 413696 445612 507904 547088 564736 801536 827392 891224 1094176 1129472 1603072 1654784 1782448 2188352 2258944 3206144 3453493 3564896 4376704 4517888 6412288 6906986 7129792 8753408 9035776 12824576 13813972 14259584 17506816 18071552 25649152 27627944 28519168 35013632 51298304 55255888 57038336 70027264 110511776 114076672 140054528 221023552 228153344 280109056 442047104 456306688 560218112 884094208 912613376 1768188416 1825226752 3536376832 7072753664 14145507328 28291014656 56582029312