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3992730911496 = 2334192345730853
BaseRepresentation
bin111010000110100001010…
…011101100001100001000
3112010200221021121202010000
4322012201103230030020
51010404103103131441
612254122452123000
7561315410530215
oct72064123541410
915120837552100
103992730911496
1112aa342566908
12545999606460
1322c688b28832
14db36bb78b0c
156dcd7c3b2b6
hex3a1a14ec308

3992730911496 has 320 divisors, whose sum is σ = 12311042198400. Its totient is φ = 1203364242432.

The previous prime is 3992730911483. The next prime is 3992730911537. The reversal of 3992730911496 is 6941190372993.

3992730911496 is a `hidden beast` number, since 3 + 9 + 9 + 27 + 30 + 91 + 1 + 496 = 666.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 129396006 + ... + 129426858.

It is an arithmetic number, because the mean of its divisors is an integer number (38472006870).

Almost surely, 23992730911496 is an apocalyptic number.

3992730911496 is a gapful number since it is divisible by the number (36) 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 3992730911496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155521099200).

3992730911496 is an abundant number, since it is smaller than the sum of its proper divisors (8318311286904).

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

3992730911496 is a wasteful number, since it uses less digits than its factorization.

3992730911496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31370 (or 31357 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 3992730911496 in words is "three trillion, nine hundred ninety-two billion, seven hundred thirty million, nine hundred eleven thousand, four hundred ninety-six".