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5756766048 = 2532112341247
BaseRepresentation
bin1010101110010000…
…10100011101100000
3112212012101000102100
411113020110131200
543242213003143
62351123250400
7262441463325
oct52710243540
915765330370
105756766048
1124945a95a0
121147b19a00
13709884c57
143c87b4b4c
1523a5dd6d3
hex157214760

5756766048 has 432 divisors, whose sum is σ = 19507557888. Its totient is φ = 1593292800.

The previous prime is 5756766023. The next prime is 5756766079. The reversal of 5756766048 is 8406676575.

5756766048 is a `hidden beast` number, since 575 + 6 + 7 + 6 + 60 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5756765985 and 5756766003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122484361 + ... + 122484407.

It is an arithmetic number, because the mean of its divisors is an integer number (45156384).

Almost surely, 25756766048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5756766048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753778944).

5756766048 is an abundant number, since it is smaller than the sum of its proper divisors (13750791840).

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

5756766048 is a wasteful number, since it uses less digits than its factorization.

5756766048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The square root of 5756766048 is about 75873.3553231963. The cubic root of 5756766048 is about 1792.2263578592.

The spelling of 5756766048 in words is "five billion, seven hundred fifty-six million, seven hundred sixty-six thousand, forty-eight".