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107449423488 = 27321110398161
BaseRepresentation
bin110010000010001111…
…1000001011010000000
3101021100100001021011100
41210010133001122000
53230024023022423
6121210034014400
710522461013221
oct1440437013200
9337310037140
10107449423488
1141629442240
12189a8717400
13a194c6cb34
1452b4569248
152bdd22b343
hex19047c1680

107449423488 has 192 divisors, whose sum is σ = 337671734400. Its totient is φ = 32525107200.

The previous prime is 107449423463. The next prime is 107449423493. The reversal of 107449423488 is 884324944701.

107449423488 is a `hidden beast` number, since 1 + 0 + 74 + 4 + 94 + 2 + 3 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1074494234882 (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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13162128 + ... + 13170288.

It is an arithmetic number, because the mean of its divisors is an integer number (1758706950).

Almost surely, 2107449423488 is an apocalyptic number.

107449423488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107449423488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168835867200).

107449423488 is an abundant number, since it is smaller than the sum of its proper divisors (230222310912).

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

107449423488 is a wasteful number, since it uses less digits than its factorization.

107449423488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9231 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 107449423488 in words is "one hundred seven billion, four hundred forty-nine million, four hundred twenty-three thousand, four hundred eighty-eight".