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106115012200496 = 24132332189563639
BaseRepresentation
bin11000001000001011010011…
…100110111000100000110000
3111220201111101122121020001102
4120020023103212320200300
5102402042021110403441
61013404321424223532
731231361632214345
oct3010132346704060
9456644348536042
10106115012200496
11308a213aa7a0a2
12ba99972a6aba8
1347297ab213840
141c2bdcb7407cc
15c404658b669b
hex6082d39b8830

106115012200496 has 40 divisors (see below), whose sum is σ = 222363325023840. Its totient is φ = 48765961345536.

The previous prime is 106115012200487. The next prime is 106115012200511. The reversal of 106115012200496 is 694002210511601.

It is a super-2 number, since 2×1061150122004962 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1094733356 + ... + 1094830283.

It is an arithmetic number, because the mean of its divisors is an integer number (5559083125596).

Almost surely, 2106115012200496 is an apocalyptic number.

106115012200496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106115012200496 is an abundant number, since it is smaller than the sum of its proper divisors (116248312823344).

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

106115012200496 is a wasteful number, since it uses less digits than its factorization.

106115012200496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189563893 (or 2189563887 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The spelling of 106115012200496 in words is "one hundred six trillion, one hundred fifteen billion, twelve million, two hundred thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 233 466 932 1864 3029 3728 6058 12116 24232 48464 2189563639 4379127278 8758254556 17516509112 28464327307 35033018224 56928654614 113857309228 227714618456 455429236912 510168327887 1020336655774 2040673311548 4081346623096 6632188262531 8162693246192 13264376525062 26528753050124 53057506100248 106115012200496