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5643536976 = 243572112693
BaseRepresentation
bin1010100000110000…
…11000101001010000
3112120022022101100000
411100120120221100
543024221140401
62332000330000
7256565162400
oct52030305120
915508271300
105643536976
1124366a1950
121116013900
136bc28bbbc
143b773c800
152306c4186
hex150618a50

5643536976 has 360 divisors, whose sum is σ = 20792981664. Its totient is φ = 1465309440.

The previous prime is 5643536953. The next prime is 5643536981. The reversal of 5643536976 is 6796353465.

5643536976 is a `hidden beast` number, since 564 + 3 + 5 + 3 + 6 + 9 + 76 = 666.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2094286 + ... + 2096978.

Almost surely, 25643536976 is an apocalyptic number.

5643536976 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 5643536976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10396490832).

5643536976 is an abundant number, since it is smaller than the sum of its proper divisors (15149444688).

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

5643536976 is a wasteful number, since it uses less digits than its factorization.

5643536976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2716 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 54.

The square root of 5643536976 is about 75123.4781942370. The cubic root of 5643536976 is about 1780.3981115164.

The spelling of 5643536976 in words is "five billion, six hundred forty-three million, five hundred thirty-six thousand, nine hundred seventy-six".