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106502822624 = 2511302564837
BaseRepresentation
bin110001100110000010…
…0000001101011100000
3101011220100211221220002
41203030010001223200
53221104210310444
6120532101035132
710460145025022
oct1431404015340
9334810757802
10106502822624
1141193080a80
12187836b5aa8
13a073b0b293
14522495c012
152b85096d4e
hex18cc101ae0

106502822624 has 24 divisors (see below), whose sum is σ = 228739017528. Its totient is φ = 48410373760.

The previous prime is 106502822603. The next prime is 106502822639. The reversal of 106502822624 is 426228205601.

106502822624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1065028226242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 151282067 + ... + 151282770.

It is an arithmetic number, because the mean of its divisors is an integer number (9530792397).

Almost surely, 2106502822624 is an apocalyptic number.

It is an amenable number.

106502822624 is an abundant number, since it is smaller than the sum of its proper divisors (122236194904).

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

106502822624 is a wasteful number, since it uses less digits than its factorization.

106502822624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302564858 (or 302564850 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 106502822624 in words is "one hundred six billion, five hundred two million, eight hundred twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 302564837 605129674 1210259348 2420518696 3328213207 4841037392 6656426414 9682074784 13312852828 26625705656 53251411312 106502822624