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116154162432 = 2833711415323
BaseRepresentation
bin110110000101101010…
…0111101110100000000
3102002210222112211011000
41230023110331310000
53400340431144212
6125205510452000
711251260042660
oct1541324756400
9362728484130
10116154162432
1145295aa6470
121a617964000
13ac514c1339
14589c6821a0
15304c5331dc
hex1b0b53dd00

116154162432 has 576 divisors, whose sum is σ = 438772561920. Its totient is φ = 29428531200.

The previous prime is 116154162409. The next prime is 116154162433. The reversal of 116154162432 is 234261451611.

116154162432 is a `hidden beast` number, since 1 + 1 + 61 + 5 + 4 + 162 + 432 = 666.

116154162432 is digitally balanced in base 3, 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 (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116154162433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21818523 + ... + 21823845.

It is an arithmetic number, because the mean of its divisors is an integer number (761757920).

Almost surely, 2116154162432 is an apocalyptic number.

116154162432 is a gapful number since it is divisible by the number (12) 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 116154162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219386280960).

116154162432 is an abundant number, since it is smaller than the sum of its proper divisors (322618399488).

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

116154162432 is a wasteful number, since it uses less digits than its factorization.

116154162432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5387 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 116154162432 in words is "one hundred sixteen billion, one hundred fifty-four million, one hundred sixty-two thousand, four hundred thirty-two".