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113749469156736 = 27327193673202127
BaseRepresentation
bin11001110111010001011100…
…101100111101010110000000
3112220202100021002020222212100
4121313101130230331112000
5104402132403101003421
61041531441300230400
732650061612506140
oct3167213454752600
9486670232228770
10113749469156736
1133275973995176
12109114ab09b400
134b616b504716a
14201370a168920
15d23d40e96c26
hex67745cb3d580

113749469156736 has 384 divisors, whose sum is σ = 393884731468800. Its totient is φ = 30780795101184.

The previous prime is 113749469156707. The next prime is 113749469156863. The reversal of 113749469156736 is 637651964947311.

It is a happy number.

113749469156736 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 4 + 9 + 469 + 156 + 7 + 3 + 6 = 666.

113749469156736 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562661305 + ... + 562863431.

It is an arithmetic number, because the mean of its divisors is an integer number (1025741488200).

Almost surely, 2113749469156736 is an apocalyptic number.

113749469156736 is a gapful number since it is divisible by the number (16) 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 113749469156736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196942365734400).

113749469156736 is an abundant number, since it is smaller than the sum of its proper divisors (280135262312064).

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

113749469156736 is a wasteful number, since it uses less digits than its factorization.

113749469156736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205846 (or 205831 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 72.

The spelling of 113749469156736 in words is "one hundred thirteen trillion, seven hundred forty-nine billion, four hundred sixty-nine million, one hundred fifty-six thousand, seven hundred thirty-six".