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106004878572 = 223233112389537
BaseRepresentation
bin110001010111001100…
…0100001010011101100
3101010121122212210001210
41202232120201103230
53214044222103242
6120410432234420
710441620413055
oct1425630412354
9333548783053
10106004878572
1140a57a9926a
121866499ba10
139cc48c5c28
1451b877d72c
152b564d7d9c
hex18ae6214ec

106004878572 has 48 divisors (see below), whose sum is σ = 266424625152. Its totient is φ = 32708375040.

The previous prime is 106004878561. The next prime is 106004878579. The reversal of 106004878572 is 275878400601.

It is a super-2 number, since 2×1060048785722 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106004878579) 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 15 ways as a sum of consecutive naturals, for example, 6186213 + ... + 6203324.

It is an arithmetic number, because the mean of its divisors is an integer number (5550513024).

Almost surely, 2106004878572 is an apocalyptic number.

106004878572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106004878572 is an abundant number, since it is smaller than the sum of its proper divisors (160419746580).

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

106004878572 is a wasteful number, since it uses less digits than its factorization.

106004878572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12389598 (or 12389596 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 106004878572 in words is "one hundred six billion, four million, eight hundred seventy-eight thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 1426 2139 2852 4278 8556 12389537 24779074 37168611 49558148 74337222 148674444 284959351 384075647 569918702 768151294 854878053 1139837404 1152226941 1536302588 1709756106 2304453882 3419512212 4608907764 8833739881 17667479762 26501219643 35334959524 53002439286 106004878572