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113396226048 = 21135743757
BaseRepresentation
bin110100110011011110…
…0010001100000000000
3101211200210000010200000
41221212330101200000
53324213413213143
6124032110400000
711123031006060
oct1514674214000
9354623003600
10113396226048
1144100238aa6
1219b88200000
13a902001011
1456ba28b3a0
152e3a356bd3
hex1a66f11800

113396226048 has 576 divisors, whose sum is σ = 397710593280. Its totient is φ = 31603654656.

The previous prime is 113396226017. The next prime is 113396226071. The reversal of 113396226048 is 840622693311.

113396226048 is a `hidden beast` number, since 1 + 1 + 3 + 39 + 6 + 2 + 2 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1133962260482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113396225994 and 113396226012.

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, 149796486 + ... + 149797242.

It is an arithmetic number, because the mean of its divisors is an integer number (690469780).

Almost surely, 2113396226048 is an apocalyptic number.

113396226048 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 113396226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198855296640).

113396226048 is an abundant number, since it is smaller than the sum of its proper divisors (284314367232).

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

113396226048 is an frugal number, since it uses more digits than its factorization.

113396226048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 113396226048 in words is "one hundred thirteen billion, three hundred ninety-six million, two hundred twenty-six thousand, forty-eight".