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5464424064 = 2731129311439
BaseRepresentation
bin1010001011011010…
…00111111010000000
3112002211021111121110
411011231013322000
542142343032224
62302121323320
7252261560331
oct50555077200
915084244543
105464424064
112354585750
121086036540
13691138a28
1439ba36288
1521eae3929
hex145b47e80

5464424064 has 256 divisors, whose sum is σ = 16920576000. Its totient is φ = 1546137600.

The previous prime is 5464424057. The next prime is 5464424071. The reversal of 5464424064 is 4604244645.

It is an interprime number because it is at equal distance from previous prime (5464424057) and next prime (5464424071).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3796657 + ... + 3798095.

It is an arithmetic number, because the mean of its divisors is an integer number (66096000).

Almost surely, 25464424064 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 5464424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460288000).

5464424064 is an abundant number, since it is smaller than the sum of its proper divisors (11456151936).

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

5464424064 is a wasteful number, since it uses less digits than its factorization.

5464424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

The square root of 5464424064 is about 73921.7428365971. The cubic root of 5464424064 is about 1761.3600094117.

The spelling of 5464424064 in words is "five billion, four hundred sixty-four million, four hundred twenty-four thousand, sixty-four".