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113847435520 = 2857133141769
BaseRepresentation
bin110101000000111010…
…1100000000100000000
3101212212020000221200221
41222001311200010000
53331124420414040
6124144545352424
711140150143430
oct1520165400400
9355766027627
10113847435520
1144311a00395
121a093338714
13a974632380
1457201822c0
152e64c8374a
hex1a81d60100

113847435520 has 576 divisors, whose sum is σ = 355369512960. Its totient is φ = 33973862400.

The previous prime is 113847435463. The next prime is 113847435539. The reversal of 113847435520 is 25534748311.

It is a happy number.

It is a super-2 number, since 2×1138474355202 (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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148045696 + ... + 148046464.

It is an arithmetic number, because the mean of its divisors is an integer number (616960960).

Almost surely, 2113847435520 is an apocalyptic number.

113847435520 is a gapful number since it is divisible by the number (10) 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 113847435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177684756480).

113847435520 is an abundant number, since it is smaller than the sum of its proper divisors (241522077440).

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

113847435520 is a wasteful number, since it uses less digits than its factorization.

113847435520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 113847435520 in words is "one hundred thirteen billion, eight hundred forty-seven million, four hundred thirty-five thousand, five hundred twenty".