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5667952320 = 263451719677
BaseRepresentation
bin1010100011101011…
…00001011011000000
3112122000020210220000
411101311201123000
543101443433240
62334231520000
7260312541222
oct52165413300
915560223800
105667952320
112449458518
121122229000
136c4359c54
143baa96412
152328e8430
hex151d616c0

5667952320 has 560 divisors, whose sum is σ = 22504664160. Its totient is φ = 1345683456.

The previous prime is 5667952309. The next prime is 5667952327. The reversal of 5667952320 is 232597665.

5667952320 is a `hidden beast` number, since 56 + 6 + 79 + 523 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5667952327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8371822 + ... + 8372498.

Almost surely, 25667952320 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 5667952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11252332080).

5667952320 is an abundant number, since it is smaller than the sum of its proper divisors (16836711840).

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

5667952320 is a wasteful number, since it uses less digits than its factorization.

5667952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 5667952320 is about 75285.8042395776. The cubic root of 5667952320 is about 1782.9618994871.

The spelling of 5667952320 in words is "five billion, six hundred sixty-seven million, nine hundred fifty-two thousand, three hundred twenty".