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106807614464 = 210113923047
BaseRepresentation
bin110001101111000111…
…0101101110000000000
3101012200121100222200202
41203132032231300000
53222220222130324
6121022225504332
710500535512665
oct1433616556000
9335617328622
10106807614464
114132a128661
12188497a20a8
13a0c1cc6195
14525321ba6c
152ba1c008ae
hex18de3adc00

106807614464 has 44 divisors (see below), whose sum is σ = 215400635184. Its totient is φ = 52931149824.

The previous prime is 106807614457. The next prime is 106807614491. The reversal of 106807614464 is 464416708601.

It is a super-2 number, since 2×1068076144642 (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 (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 345812 + ... + 577235.

Almost surely, 2106807614464 is an apocalyptic number.

It is an amenable number.

106807614464 is an abundant number, since it is smaller than the sum of its proper divisors (108593020720).

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

106807614464 is an equidigital number, since it uses as much as digits as its factorization.

106807614464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923180 (or 923162 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The spelling of 106807614464 in words is "one hundred six billion, eight hundred seven million, six hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1024 1808 3616 7232 14464 28928 57856 115712 923047 1846094 3692188 7384376 14768752 29537504 59075008 104304311 118150016 208608622 236300032 417217244 472600064 834434488 945200128 1668868976 3337737952 6675475904 13350951808 26701903616 53403807232 106807614464