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45856818882 = 23272323122193
BaseRepresentation
bin101010101101010001…
…111000011011000010
311101100211200202121100
4222231101320123002
51222403321201012
633022154435230
73212242346340
oct525521703302
9141324622540
1045856818882
11184a1a84826
128a79432b16
13442a599074
142310388990
1512d5c8a8dc
hexaad4786c2

45856818882 has 144 divisors (see below), whose sum is σ = 122536447488. Its totient is φ = 12127484160.

The previous prime is 45856818863. The next prime is 45856818883. The reversal of 45856818882 is 28881865854.

45856818882 is a `hidden beast` number, since 4 + 58 + 568 + 18 + 8 + 8 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (45856818883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2055178 + ... + 2077370.

It is an arithmetic number, because the mean of its divisors is an integer number (850947552).

Almost surely, 245856818882 is an apocalyptic number.

45856818882 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45856818882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61268223744).

45856818882 is an abundant number, since it is smaller than the sum of its proper divisors (76679628606).

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

45856818882 is a wasteful number, since it uses less digits than its factorization.

45856818882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22285 (or 22259 counting only the distinct ones).

The product of its digits is 39321600, while the sum is 63.

The spelling of 45856818882 in words is "forty-five billion, eight hundred fifty-six million, eight hundred eighteen thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 31 42 46 62 63 69 93 126 138 161 186 207 217 279 322 414 434 483 529 558 651 713 966 1058 1302 1426 1449 1587 1953 2139 2898 3174 3703 3906 4278 4761 4991 6417 7406 9522 9982 11109 12834 14973 16399 22193 22218 29946 32798 33327 44386 44919 49197 66579 66654 89838 98394 114793 133158 147591 155351 199737 229586 295182 310702 344379 399474 466053 510439 687983 688758 932106 1020878 1033137 1375966 1398159 1531317 2063949 2066274 2796318 3062634 3573073 4127898 4593951 4815881 6191847 7146146 9187902 9631762 10719219 11740097 12383694 14447643 15823609 21438438 23480194 28895286 31647218 32157657 35220291 43342929 47470827 64315314 70440582 82180679 86685858 94941654 105660873 110765263 142412481 164361358 211321746 221530526 246542037 284824962 332295789 363943007 493084074 664591578 727886014 739626111 996887367 1091829021 1479252222 1993774734 2183658042 2547601049 3275487063 5095202098 6550974126 7642803147 15285606294 22928409441 45856818882