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5065574976 = 263371123461
BaseRepresentation
bin1001011011110111…
…01000101001000000
3111002000202212112000
410231323220221000
540333241344401
62154352504000
7236346451110
oct45573505100
914060685460
105065574976
11216a426500
12b9454b000
1362960b257
14360a91040
151e9aab186
hex12dee8a40

5065574976 has 336 divisors, whose sum is σ = 18712525440. Its totient is φ = 1315353600.

The previous prime is 5065574963. The next prime is 5065574981. The reversal of 5065574976 is 6794755605.

5065574976 is a `hidden beast` number, since 5 + 0 + 65 + 574 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1461886 + ... + 1465346.

It is an arithmetic number, because the mean of its divisors is an integer number (55692040).

Almost surely, 25065574976 is an apocalyptic number.

5065574976 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 5065574976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9356262720).

5065574976 is an abundant number, since it is smaller than the sum of its proper divisors (13646950464).

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

5065574976 is a wasteful number, since it uses less digits than its factorization.

5065574976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The square root of 5065574976 is about 71172.8528021745. The cubic root of 5065574976 is about 1717.4189447074.

The spelling of 5065574976 in words is "five billion, sixty-five million, five hundred seventy-four thousand, nine hundred seventy-six".