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108892348272 = 2433318179241
BaseRepresentation
bin110010101101001111…
…1010101111101110000
3101102001220011102212000
41211122133111331300
53241002420121042
6122005140534000
710603311455061
oct1453237257560
9342056142760
10108892348272
11421a9989a64
121912b9b1300
13a364b9a496
1453b0052568
152c74c4e74c
hex195a7d5f70

108892348272 has 80 divisors (see below), whose sum is σ = 312663574560. Its totient is φ = 36285580800.

The previous prime is 108892348223. The next prime is 108892348291. The reversal of 108892348272 is 272843298801.

108892348272 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 92 + 3 + 482 + 72 = 666.

It is a super-3 number, since 3×1088923482723 (a number of 34 digits) contains 333 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1334572 + ... + 1413812.

It is an arithmetic number, because the mean of its divisors is an integer number (3908294682).

Almost surely, 2108892348272 is an apocalyptic number.

108892348272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

108892348272 is an abundant number, since it is smaller than the sum of its proper divisors (203771226288).

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

108892348272 is a wasteful number, since it uses less digits than its factorization.

108892348272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82439 (or 82427 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 108892348272 in words is "one hundred eight billion, eight hundred ninety-two million, three hundred forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 3181 6362 9543 12724 19086 25448 28629 38172 50896 57258 76344 79241 85887 114516 152688 158482 171774 229032 237723 316964 343548 458064 475446 633928 687096 713169 950892 1267856 1374192 1426338 1901784 2139507 2852676 3803568 4279014 5705352 8558028 11410704 17116056 34232112 252065621 504131242 756196863 1008262484 1512393726 2016524968 2268590589 3024787452 4033049936 4537181178 6049574904 6805771767 9074362356 12099149808 13611543534 18148724712 27223087068 36297449424 54446174136 108892348272