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50566946976 = 2535713223239
BaseRepresentation
bin101111000110000001…
…100110000010100000
311211112002122001200000
4233012001212002200
51312030114300401
635121413100000
73440044646250
oct570601460240
9154462561600
1050566946976
111a4997a5777
129972927600
1349cb364b00
142639b51960
1514ae534186
hexbc60660a0

50566946976 has 864 divisors, whose sum is σ = 193377300480. Its totient is φ = 12703122432.

The previous prime is 50566946971. The next prime is 50566946977. The reversal of 50566946976 is 67964966505.

50566946976 is a `hidden beast` number, since 5 + 0 + 566 + 9 + 4 + 69 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×505669469763 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50566946971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 211577065 + ... + 211577303.

It is an arithmetic number, because the mean of its divisors is an integer number (223816320).

Almost surely, 250566946976 is an apocalyptic number.

50566946976 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 50566946976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96688650240).

50566946976 is an abundant number, since it is smaller than the sum of its proper divisors (142810353504).

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

50566946976 is a wasteful number, since it uses less digits than its factorization.

50566946976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 50566946976 in words is "fifty billion, five hundred sixty-six million, nine hundred forty-six thousand, nine hundred seventy-six".