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5137448976 = 24341121812
BaseRepresentation
bin1001100100011011…
…10100000000010000
3111021001000110010000
410302031310000100
541010141331401
62205441210000
7241211411232
oct46215640020
914231013100
105137448976
1121a6a57500
12bb4630900
1363b484a4a
1436a440252
15201057186
hex132374010

5137448976 has 225 divisors, whose sum is σ = 16434702669. Its totient is φ = 1548201600.

The previous prime is 5137448963. The next prime is 5137448983. The reversal of 5137448976 is 6798447315.

The square root of 5137448976 is 71676.

It is a perfect power (a square), and thus also a powerful number.

5137448976 is a `hidden beast` number, since 513 + 7 + 44 + 89 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56610576 + 5080838400 = 7524^2 + 71280^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28383606 + ... + 28383786.

Almost surely, 25137448976 is an apocalyptic number.

5137448976 is the 71676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5137448976

5137448976 is an abundant number, since it is smaller than the sum of its proper divisors (11297253693).

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

5137448976 is a wasteful number, since it uses less digits than its factorization.

5137448976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 197 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The cubic root of 5137448976 is about 1725.5034840333.

The spelling of 5137448976 in words is "five billion, one hundred thirty-seven million, four hundred forty-eight thousand, nine hundred seventy-six".