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499799784960 = 29325719211773
BaseRepresentation
bin1110100010111100110…
…00110111111000000000
31202210001220110201211200
413101132120313320000
531142042221104320
61021334351541200
751052335035130
oct7213630677000
91683056421750
10499799784960
11182a66a48a23
1280a45b2a800
1338191819938
141a2947c6ac0
15d003285290
hex745e637e00

499799784960 has 960 divisors, whose sum is σ = 2094918059520. Its totient is φ = 107575050240.

The previous prime is 499799784893. The next prime is 499799784971. The reversal of 499799784960 is 69487997994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 499799784960.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 646571134 + ... + 646571906.

It is an arithmetic number, because the mean of its divisors is an integer number (2182206312).

Almost surely, 2499799784960 is an apocalyptic number.

499799784960 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 499799784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047459029760).

499799784960 is an abundant number, since it is smaller than the sum of its proper divisors (1595118274560).

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

499799784960 is a wasteful number, since it uses less digits than its factorization.

499799784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 2222131968, while the sum is 81.

The spelling of 499799784960 in words is "four hundred ninety-nine billion, seven hundred ninety-nine million, seven hundred eighty-four thousand, nine hundred sixty".