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63790290504 = 233341431271319
BaseRepresentation
bin111011011010001100…
…101001011001001000
320002122122200111212000
4323122030221121020
52021120303244004
645145503151000
74415532344223
oct733214513110
9202578614760
1063790290504
1125064a57456
12104432a5460
136027aa5035
1431320185ba
1519d53a1c39
hexeda329648

63790290504 has 256 divisors, whose sum is σ = 187342848000. Its totient is φ = 20087585280.

The previous prime is 63790290491. The next prime is 63790290523. The reversal of 63790290504 is 40509209736.

It is a happy number.

63790290504 is a `hidden beast` number, since 6 + 37 + 90 + 29 + 0 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 63790290504.

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 63 ways as a sum of consecutive naturals, for example, 48361957 + ... + 48363275.

It is an arithmetic number, because the mean of its divisors is an integer number (731808000).

Almost surely, 263790290504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63790290504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93671424000).

63790290504 is an abundant number, since it is smaller than the sum of its proper divisors (123552557496).

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

63790290504 is a wasteful number, since it uses less digits than its factorization.

63790290504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 63790290504 in words is "sixty-three billion, seven hundred ninety million, two hundred ninety thousand, five hundred four".