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116401532544 = 2733114765147
BaseRepresentation
bin110110001101000010…
…0100110111010000000
3102010110020000112011000
41230122010212322000
53401342243020134
6125250224452000
711260352462433
oct1543204467200
9363406015130
10116401532544
11454026a3280
121a68677a000
13ac9082299b
1458c347581a
1530640e7e99
hex1b1a126e80

116401532544 has 256 divisors, whose sum is σ = 382757529600. Its totient is φ = 34522168320.

The previous prime is 116401532537. The next prime is 116401532561. The reversal of 116401532544 is 445235104611.

116401532544 is a `hidden beast` number, since 1 + 1 + 64 + 0 + 1 + 53 + 2 + 544 = 666.

It is a super-2 number, since 2×1164015325442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116401532499 and 116401532508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1754179 + ... + 1819325.

It is an arithmetic number, because the mean of its divisors is an integer number (1495146600).

Almost surely, 2116401532544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116401532544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191378764800).

116401532544 is an abundant number, since it is smaller than the sum of its proper divisors (266355997056).

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

116401532544 is a wasteful number, since it uses less digits than its factorization.

116401532544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65228 (or 65210 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 116401532544 in words is "one hundred sixteen billion, four hundred one million, five hundred thirty-two thousand, five hundred forty-four".