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106267123472 = 2429229023973
BaseRepresentation
bin110001011111000000…
…0111001111100010000
3101011021221100012102212
41202332000321330100
53220113340422342
6120452441131252
710451253434336
oct1427600717420
9334257305385
10106267123472
1141082025794
1218718789b28
13a037034c23
145201525b56
152b6e53a182
hex18be039f10

106267123472 has 20 divisors (see below), whose sum is σ = 212992295820. Its totient is φ = 51301369728.

The previous prime is 106267123439. The next prime is 106267123483. The reversal of 106267123472 is 274321762601.

It can be written as a sum of positive squares in 2 ways, for example, as 21525584656 + 84741538816 = 146716^2 + 291104^2 .

It is a super-2 number, since 2×1062671234722 (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 (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114511523 + ... + 114512450.

It is an arithmetic number, because the mean of its divisors is an integer number (10649614791).

Almost surely, 2106267123472 is an apocalyptic number.

It is an amenable number.

106267123472 is an abundant number, since it is smaller than the sum of its proper divisors (106725172348).

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

106267123472 is a wasteful number, since it uses less digits than its factorization.

106267123472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229024010 (or 229024004 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 106267123472 in words is "one hundred six billion, two hundred sixty-seven million, one hundred twenty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 229023973 458047946 916095892 1832191784 3664383568 6641695217 13283390434 26566780868 53133561736 106267123472