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161354412430992 = 2433112197912716193
BaseRepresentation
bin100100101100000001000000…
…011011111001011010010000
3210011022022221102122101112000
4210230001000123321122100
5132122112314040242432
61331101105504034000
745662320521036414
oct4454010033713220
9704268842571460
10161354412430992
114745a027353200
121611b696302900
136c0586aa547a1
142bbb849456d44
15139c2ea1ce57c
hex92c0406f9690

161354412430992 has 960 divisors, whose sum is σ = 546962325504000. Its totient is φ = 45372564357120.

The previous prime is 161354412430961. The next prime is 161354412431033. The reversal of 161354412430992 is 299034214453161.

161354412430992 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 544 + 1 + 2 + 4 + 3 + 0 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9964446448 + ... + 9964462640.

It is an arithmetic number, because the mean of its divisors is an integer number (569752422400).

Almost surely, 2161354412430992 is an apocalyptic number.

161354412430992 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 161354412430992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273481162752000).

161354412430992 is an abundant number, since it is smaller than the sum of its proper divisors (385607913073008).

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

161354412430992 is a wasteful number, since it uses less digits than its factorization.

161354412430992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16457 (or 16434 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 161354412430992 in words is "one hundred sixty-one trillion, three hundred fifty-four billion, four hundred twelve million, four hundred thirty thousand, nine hundred ninety-two".