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108015411392 = 2671932395227
BaseRepresentation
bin110010010011000111…
…0000110000011000000
3101022210210001102121022
41210212032012003000
53232203421131032
6121342133045012
710542502563560
oct1444616060300
9338723042538
10108015411392
114189997a339
1218b26186768
13a2552ba515
1453297bada0
152c22c7b512
hex19263860c0

108015411392 has 112 divisors (see below), whose sum is σ = 247310330880. Its totient is φ = 45851000832.

The previous prime is 108015411367. The next prime is 108015411409. The reversal of 108015411392 is 293114510801.

It is a happy number.

108015411392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 20662283 + ... + 20667509.

Almost surely, 2108015411392 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 108015411392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123655165440).

108015411392 is an abundant number, since it is smaller than the sum of its proper divisors (139294919488).

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

108015411392 is a wasteful number, since it uses less digits than its factorization.

108015411392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 35.

The spelling of 108015411392 in words is "one hundred eight billion, fifteen million, four hundred eleven thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 193 224 239 386 448 478 772 956 1351 1544 1673 1912 2702 3088 3346 3824 5227 5404 6176 6692 7648 10454 10808 12352 13384 15296 20908 21616 26768 36589 41816 43232 46127 53536 73178 83632 86464 92254 107072 146356 167264 184508 292712 322889 334528 369016 585424 645778 738032 1008811 1170848 1249253 1291556 1476064 2017622 2341696 2498506 2583112 2952128 4035244 4997012 5166224 7061677 8070488 8744771 9994024 10332448 14123354 16140976 17489542 19988048 20664896 28246708 32281952 34979084 39976096 56493416 64563904 69958168 79952192 112986832 139916336 225973664 241105829 279832672 451947328 482211658 559665344 964423316 1687740803 1928846632 3375481606 3857693264 6750963212 7715386528 13501926424 15430773056 27003852848 54007705696 108015411392