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5756977152 = 21536241
BaseRepresentation
bin1010101110010010…
…01000000000000000
3112212012202202000000
411113021020000000
543242241232102
62351132000000
7262443332643
oct52711100000
915765682000
105756977152
112494733163
121148000000
1370992a074
143c882ba5a
1523a63101c
hex157248000

5756977152 has 224 divisors, whose sum is σ = 17334400710. Its totient is φ = 1911029760.

The previous prime is 5756977151. The next prime is 5756977153. The reversal of 5756977152 is 2517796575.

5756977152 is a `hidden beast` number, since 5 + 7 + 569 + 7 + 71 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5756977151) and next prime (5756977153).

It can be written as a sum of positive squares in only one way, i.e., 4311760896 + 1445216256 = 65664^2 + 38016^2 .

It is a super-2 number, since 2×57569771522 = 66285571857300062208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5756977151) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23887752 + ... + 23887992.

Almost surely, 25756977152 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 5756977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8667200355).

5756977152 is an abundant number, since it is smaller than the sum of its proper divisors (11577423558).

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

5756977152 is an frugal number, since it uses more digits than its factorization.

5756977152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 246 counting only the distinct ones).

The product of its digits is 4630500, while the sum is 54.

The square root of 5756977152 is about 75874.7464707461. The cubic root of 5756977152 is about 1792.2482649233.

The spelling of 5756977152 in words is "five billion, seven hundred fifty-six million, nine hundred seventy-seven thousand, one hundred fifty-two".