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499520424960 = 21033529124601
BaseRepresentation
bin1110100010011011011…
…11001100110000000000
31202202100102210202222000
413101031233030300000
531141004212044320
61021250532144000
751042403361364
oct7211557146000
91682312722860
10499520424960
11182933291697
1280988468000
133814899766b
141a2696672a4
15ced89a1c90
hex744dbccc00

499520424960 has 352 divisors, whose sum is σ = 1836434116800. Its totient is φ = 128611123200.

The previous prime is 499520424943. The next prime is 499520424971. The reversal of 499520424960 is 69424025994.

499520424960 is a `hidden beast` number, since 4 + 9 + 9 + 520 + 4 + 24 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 499520424897 and 499520424906.

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 31 ways as a sum of consecutive naturals, for example, 3946660 + ... + 4071260.

Almost surely, 2499520424960 is an apocalyptic number.

499520424960 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 499520424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918217058400).

499520424960 is an abundant number, since it is smaller than the sum of its proper divisors (1336913691840).

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

499520424960 is a wasteful number, since it uses less digits than its factorization.

499520424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124664 (or 124640 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 499520424960 in words is "four hundred ninety-nine billion, five hundred twenty million, four hundred twenty-four thousand, nine hundred sixty".