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12416072700 = 2235241386909
BaseRepresentation
bin10111001000000111…
…00011101111111100
31012001022000211210110
423210003203233330
5200412003311300
65412011310020
7616452606453
oct134403435774
935038024713
1012416072700
1152a1605209
1224a614b310
13122b412aa5
1485ada7b9a
154ca05b550
hex2e40e3bfc

12416072700 has 36 divisors (see below), whose sum is σ = 35923837880. Its totient is φ = 3310952640.

The previous prime is 12416072693. The next prime is 12416072737. The reversal of 12416072700 is 727061421.

It is a super-2 number, since 2×124160727002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20693155 + ... + 20693754.

Almost surely, 212416072700 is an apocalyptic number.

12416072700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12416072700 is an abundant number, since it is smaller than the sum of its proper divisors (23507765180).

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

12416072700 is a wasteful number, since it uses less digits than its factorization.

12416072700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41386926 (or 41386919 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The spelling of 12416072700 in words is "twelve billion, four hundred sixteen million, seventy-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 41386909 82773818 124160727 165547636 206934545 248321454 413869090 496642908 620803635 827738180 1034672725 1241607270 2069345450 2483214540 3104018175 4138690900 6208036350 12416072700