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106512207008 = 2519883198397
BaseRepresentation
bin110001100110010011…
…1110100110010100000
3101011221000111201211212
41203030213310302200
53221114111111013
6120533034125252
710460320551524
oct1431447646240
9334830451755
10106512207008
1141198400669
1218786880828
13a075a4587c
145225cc1d84
152b85cec6a8
hex18cc9f4ca0

106512207008 has 48 divisors (see below), whose sum is σ = 220983628320. Its totient is φ = 50395758336.

The previous prime is 106512206953. The next prime is 106512207047. The reversal of 106512207008 is 800702215601.

It is a super-2 number, since 2×1065122070082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 437666 + ... + 636062.

It is an arithmetic number, because the mean of its divisors is an integer number (4603825590).

Almost surely, 2106512207008 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 106512207008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110491814160).

106512207008 is an abundant number, since it is smaller than the sum of its proper divisors (114471421312).

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

106512207008 is a wasteful number, since it uses less digits than its factorization.

106512207008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199309 (or 199301 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 106512207008 in words is "one hundred six billion, five hundred twelve million, two hundred seven thousand, eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 883 1766 3532 7064 14128 16777 28256 33554 67108 134216 198397 268432 396794 536864 793588 1587176 3174352 3769543 6348704 7539086 15078172 30156344 60312688 120625376 175184551 350369102 700738204 1401476408 2802952816 3328506469 5605905632 6657012938 13314025876 26628051752 53256103504 106512207008