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88012868100 = 22352577508451
BaseRepresentation
bin101000111110111111…
…0011100101000000100
322102011202201221121120
41101331332130220010
52420222243234400
6104233233113540
76234020015043
oct1217576345004
9272152657546
1088012868100
1134364a73523
12150833b88b0
1383b82320a1
14438d03255a
152451babca0
hex147df9ca04

88012868100 has 72 divisors (see below), whose sum is σ = 255092402208. Its totient is φ = 23429376000.

The previous prime is 88012868063. The next prime is 88012868113. The reversal of 88012868100 is 186821088.

It is a super-2 number, since 2×880128681002 (a number of 23 digits) contains 22 as substring.

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, 81126 + ... + 427325.

Almost surely, 288012868100 is an apocalyptic number.

It is an amenable number.

88012868100 is an abundant number, since it is smaller than the sum of its proper divisors (167079534108).

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

88012868100 is a wasteful number, since it uses less digits than its factorization.

88012868100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509045 (or 509038 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 42.

The spelling of 88012868100 in words is "eighty-eight billion, twelve million, eight hundred sixty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 577 1154 1731 2308 2885 3462 5770 6924 8655 11540 14425 17310 28850 34620 43275 57700 86550 173100 508451 1016902 1525353 2033804 2542255 3050706 5084510 6101412 7626765 10169020 12711275 15253530 25422550 30507060 38133825 50845100 76267650 152535300 293376227 586752454 880128681 1173504908 1466881135 1760257362 2933762270 3520514724 4400643405 5867524540 7334405675 8801286810 14668811350 17602573620 22003217025 29337622700 44006434050 88012868100