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112924225764 = 2236741272
BaseRepresentation
bin110100100101011001…
…1101111000011100100
3101210110212212001000000
41221022303233003210
53322232100211024
6123513210021300
711105240040000
oct1511263570344
9353425761000
10112924225764
1143988866219
1219a76117830
13a8582a05cc
145673703700
152e0dbbecc9
hex1a4acef0e4

112924225764 has 315 divisors, whose sum is σ = 348394841907. Its totient is φ = 32010016752.

The previous prime is 112924225759. The next prime is 112924225801. The reversal of 112924225764 is 467522429211.

The square root of 112924225764 is 336042.

It is a perfect power (a square), and thus also a powerful number.

112924225764 is a `hidden beast` number, since 11 + 29 + 2 + 42 + 2 + 576 + 4 = 666.

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 104 ways as a sum of consecutive naturals, for example, 889167069 + ... + 889167195.

Almost surely, 2112924225764 is an apocalyptic number.

112924225764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

112924225764 is the 336042-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112924225764

112924225764 is an abundant number, since it is smaller than the sum of its proper divisors (235470616143).

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

112924225764 is an frugal number, since it uses more digits than its factorization.

112924225764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 139 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 112924225764 in words is "one hundred twelve billion, nine hundred twenty-four million, two hundred twenty-five thousand, seven hundred sixty-four".