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52563104496 = 2436719311093
BaseRepresentation
bin110000111101000000…
…010101001011110000
312000200012202101000000
4300331000111023300
51330122123320441
640051441430000
73540364005420
oct607500251360
9160605671000
1052563104496
1120323558431
12a22b33b300
134c58a951c6
142788cca480
1515798d82b6
hexc3d0152f0

52563104496 has 560 divisors, whose sum is σ = 189788170240. Its totient is φ = 13756055040.

The previous prime is 52563104387. The next prime is 52563104501. The reversal of 52563104496 is 69440136525.

52563104496 is a `hidden beast` number, since 5 + 2 + 5 + 631 + 0 + 4 + 4 + 9 + 6 = 666.

It is a super-3 number, since 3×525631044963 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48090126 + ... + 48091218.

Almost surely, 252563104496 is an apocalyptic number.

52563104496 is a gapful number since it is divisible by the number (56) 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 52563104496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94894085120).

52563104496 is an abundant number, since it is smaller than the sum of its proper divisors (137225065744).

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

52563104496 is a wasteful number, since it uses less digits than its factorization.

52563104496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 52563104496 in words is "fifty-two billion, five hundred sixty-three million, one hundred four thousand, four hundred ninety-six".