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3924996516 = 22327171948221
BaseRepresentation
bin1110100111110010…
…1011000110100100
3101010112120111000100
43221330223012210
531014244342031
61445250144100
7166156630350
oct35174530644
911115514010
103924996516
111734615a81
12916582030
134a722065c
142933cc460
1517e8abde6
hexe9f2b1a4

3924996516 has 144 divisors (see below), whose sum is σ = 12638021760. Its totient is φ = 999889920.

The previous prime is 3924996487. The next prime is 3924996547. The reversal of 3924996516 is 6156994293.

3924996516 is a `hidden beast` number, since 3 + 92 + 499 + 65 + 1 + 6 = 666.

It is a super-2 number, since 2×39249965162 = 30811195301224276512, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 57286 + ... + 105506.

It is an arithmetic number, because the mean of its divisors is an integer number (87764040).

Almost surely, 23924996516 is an apocalyptic number.

3924996516 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 3924996516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319010880).

3924996516 is an abundant number, since it is smaller than the sum of its proper divisors (8713025244).

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

3924996516 is a wasteful number, since it uses less digits than its factorization.

3924996516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48274 (or 48269 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The square root of 3924996516 is about 62649.7926253551. The cubic root of 3924996516 is about 1577.4166667100.

The spelling of 3924996516 in words is "three billion, nine hundred twenty-four million, nine hundred ninety-six thousand, five hundred sixteen".