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492399452160 = 21332571121983
BaseRepresentation
bin1110010101001010100…
…10110110000000000000
31202001222011102212200200
413022211102312000000
531031413224432120
61014112153045200
750401055166630
oct7124522660000
91661864385620
10492399452160
1117a909721400
127b51b6b6800
13375825b6aa5
1419b91a1a6c0
15cc1d73de90
hex72a54b6000

492399452160 has 2016 divisors, whose sum is σ = 2284225332480. Its totient is φ = 95763824640.

The previous prime is 492399452143. The next prime is 492399452189. The reversal of 492399452160 is 61254993294.

492399452160 is a `hidden beast` number, since 4 + 9 + 23 + 9 + 9 + 452 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a junction number, because it is equal to n+sod(n) for n = 492399452097 and 492399452106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5932523479 + ... + 5932523561.

It is an arithmetic number, because the mean of its divisors is an integer number (1133048280).

Almost surely, 2492399452160 is an apocalyptic number.

492399452160 is a gapful number since it is divisible by the number (40) 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 492399452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142112666240).

492399452160 is an abundant number, since it is smaller than the sum of its proper divisors (1791825880320).

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

492399452160 is a wasteful number, since it uses less digits than its factorization.

492399452160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 492399452160 in words is "four hundred ninety-two billion, three hundred ninety-nine million, four hundred fifty-two thousand, one hundred sixty".