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492081885540 = 2233572374311689
BaseRepresentation
bin1110010100100100101…
…11011011000101100100
31202001011000212211012000
413022102113123011210
531030240430314130
61014020450325300
750360151004500
oct7122227330544
91661130784160
10492081885540
1117a766439953
127b451289830
133753187834b
1419b61793300
15cc00910260
hex72925db164

492081885540 has 576 divisors, whose sum is σ = 1871694316800. Its totient is φ = 106881804288.

The previous prime is 492081885523. The next prime is 492081885551. The reversal of 492081885540 is 45588180294.

492081885540 is a `hidden beast` number, since 4 + 9 + 2 + 0 + 8 + 1 + 88 + 554 + 0 = 666.

It is a super-2 number, since 2×4920818855402 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42092016 + ... + 42103704.

It is an arithmetic number, because the mean of its divisors is an integer number (3249469300).

Almost surely, 2492081885540 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 492081885540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935847158400).

492081885540 is an abundant number, since it is smaller than the sum of its proper divisors (1379612431260).

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

492081885540 is a wasteful number, since it uses less digits than its factorization.

492081885540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11801 (or 11786 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 492081885540 in words is "four hundred ninety-two billion, eighty-one million, eight hundred eighty-five thousand, five hundred forty".