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81291957372 = 2235588114221
BaseRepresentation
bin100101110110101100…
…0001101010001111100
321202211101011022100000
41023231120031101330
52312441220113442
6101202304434300
75605330144113
oct1135530152174
9252741138300
1081291957372
113152621084a
1213908618990
1378869b5132
143d125a4c7a
1521abb20d4c
hex12ed60d47c

81291957372 has 72 divisors (see below), whose sum is σ = 213149892592. Its totient is φ = 27090806400.

The previous prime is 81291957337. The next prime is 81291957403. The reversal of 81291957372 is 27375919218.

It is a happy number.

81291957372 is a `hidden beast` number, since 81 + 2 + 9 + 195 + 7 + 372 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5709222 + ... + 5723442.

Almost surely, 281291957372 is an apocalyptic number.

It is an amenable number.

81291957372 is an abundant number, since it is smaller than the sum of its proper divisors (131857935220).

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

81291957372 is a wasteful number, since it uses less digits than its factorization.

81291957372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20121 (or 20107 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 81291957372 in words is "eighty-one billion, two hundred ninety-one million, nine hundred fifty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 5881 11762 14221 17643 23524 28442 35286 42663 52929 56884 70572 85326 105858 127989 158787 170652 211716 255978 317574 383967 476361 511956 635148 767934 952722 1151901 1429083 1535868 1905444 2303802 2858166 3455703 4607604 5716332 6911406 13822812 83633701 167267402 250901103 334534804 501802206 752703309 1003604412 1505406618 2258109927 3010813236 4516219854 6774329781 9032439708 13548659562 20322989343 27097319124 40645978686 81291957372