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502040960512 = 2972131981017
BaseRepresentation
bin1110100111000111111…
…10010001111000000000
31202222212002122020201121
413103203332101320000
531211134441214022
61022345012042024
751162020516500
oct7234376217000
91688762566647
10502040960512
11183a07041323
1281370603314
133845ac36c10
141a428301a00
15d0d4dd72c7
hex74e3f91e00

502040960512 has 240 divisors, whose sum is σ = 1322787367440. Its totient is φ = 188154150912.

The previous prime is 502040960501. The next prime is 502040960513. The reversal of 502040960512 is 215069040205.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502040960513) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6156228 + ... + 6237244.

It is an arithmetic number, because the mean of its divisors is an integer number (5511614031).

Almost surely, 2502040960512 is an apocalyptic number.

502040960512 is a gapful number since it is divisible by the number (52) 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 502040960512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661393683720).

502040960512 is an abundant number, since it is smaller than the sum of its proper divisors (820746406928).

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

502040960512 is a wasteful number, since it uses less digits than its factorization.

502040960512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81081 (or 81058 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 502040960512 in words is "five hundred two billion, forty million, nine hundred sixty thousand, five hundred twelve".