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492411142080 = 2632511131319127
BaseRepresentation
bin1110010101001011111…
…11011011111111000000
31202001222222102210020200
413022211333123333000
531031424223021310
61014113251405200
750401256435214
oct7124577337700
91661888383220
10492411142080
1117a9152861a0
127b5235b3800
1337584b4a8c0
1419b933c0944
15cc1e79c9c0
hex72a5fdbfc0

492411142080 has 672 divisors, whose sum is σ = 2005197562368. Its totient is φ = 109336780800.

The previous prime is 492411142079. The next prime is 492411142109. The reversal of 492411142080 is 80241114294.

492411142080 is a `hidden beast` number, since 49 + 2 + 4 + 111 + 420 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53946477 + ... + 53955603.

It is an arithmetic number, because the mean of its divisors is an integer number (2983924944).

Almost surely, 2492411142080 is an apocalyptic number.

492411142080 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 492411142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002598781184).

492411142080 is an abundant number, since it is smaller than the sum of its proper divisors (1512786420288).

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

492411142080 is a wasteful number, since it uses less digits than its factorization.

492411142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9305 (or 9292 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 492411142080 in words is "four hundred ninety-two billion, four hundred eleven million, one hundred forty-two thousand, eighty".