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5077492992 = 283311213467
BaseRepresentation
bin1001011101010010…
…00110010100000000
3111002212012100222000
410232221012110000
540344314233432
62155500144000
7236552656365
oct45651062400
914085170860
105077492992
112176126700
12b98538000
1362bc21b30
143624b446c
151eab6257c
hex12ea46500

5077492992 has 432 divisors, whose sum is σ = 17811743040. Its totient is φ = 1417236480.

The previous prime is 5077492961. The next prime is 5077492993. The reversal of 5077492992 is 2992947705.

5077492992 is a `hidden beast` number, since 507 + 7 + 49 + 2 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×50774929922 = 51561870167618224128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077492993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10872343 + ... + 10872809.

Almost surely, 25077492992 is an apocalyptic number.

5077492992 is a gapful number since it is divisible by the number (52) 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 5077492992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905871520).

5077492992 is an abundant number, since it is smaller than the sum of its proper divisors (12734250048).

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

5077492992 is a wasteful number, since it uses less digits than its factorization.

5077492992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 5077492992 is about 71256.5294692353. The cubic root of 5077492992 is about 1718.7647738463.

The spelling of 5077492992 in words is "five billion, seventy-seven million, four hundred ninety-two thousand, nine hundred ninety-two".