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5157050976 = 2538711229
BaseRepresentation
bin1001100110110001…
…00101101001100000
3111022101220100000000
410303120211221200
541030201112401
62211421300000
7241540132020
oct46330455140
914271810000
105157050976
112207025800
12bbb104600
13642558c6c
1436cca3a80
15202b2a186
hex133625a60

5157050976 has 648 divisors, whose sum is σ = 19789857360. Its totient is φ = 1293304320.

The previous prime is 5157050953. The next prime is 5157050981. The reversal of 5157050976 is 6790507515.

It is a happy number.

5157050976 is a `hidden beast` number, since 5 + 1 + 5 + 70 + 509 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 177829330 + ... + 177829358.

Almost surely, 25157050976 is an apocalyptic number.

5157050976 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 5157050976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894928680).

5157050976 is an abundant number, since it is smaller than the sum of its proper divisors (14632806384).

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

5157050976 is an equidigital number, since it uses as much as digits as its factorization.

5157050976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 45.

The square root of 5157050976 is about 71812.6101461296. The cubic root of 5157050976 is about 1727.6952587606.

The spelling of 5157050976 in words is "five billion, one hundred fifty-seven million, fifty thousand, nine hundred seventy-six".