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5149742976 = 273271922961
BaseRepresentation
bin1001100101111001…
…01101011110000000
3111021220011001022100
410302330231132000
541021313233401
62211000510400
7241421043630
oct46274553600
914256131270
105149742976
112202994134
12bb877b400
13640b9a7c1
1436bd206c0
15202184b86
hex132f2d780

5149742976 has 576 divisors, whose sum is σ = 18793663200. Its totient is φ = 1323786240.

The previous prime is 5149742963. The next prime is 5149742977. The reversal of 5149742976 is 6792479415.

5149742976 is a `hidden beast` number, since 5 + 149 + 7 + 429 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×51497429762 = 53039705437722673152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5149742977) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84421986 + ... + 84422046.

Almost surely, 25149742976 is an apocalyptic number.

5149742976 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 5149742976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9396831600).

5149742976 is an abundant number, since it is smaller than the sum of its proper divisors (13643920224).

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

5149742976 is a wasteful number, since it uses less digits than its factorization.

5149742976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 121 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 5149742976 is about 71761.7096786301. The cubic root of 5149742976 is about 1726.8787736697.

The spelling of 5149742976 in words is "five billion, one hundred forty-nine million, seven hundred forty-two thousand, nine hundred seventy-six".