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1064011464 = 23352353449
BaseRepresentation
bin111111011010111…
…000011011001000
32202011010101100000
4333122320123020
54134341331324
6253325243000
735236643145
oct7732703310
92664111300
101064011464
114a667461a
12258403460
1313c58cca9
14a14513cc
15636279c9
hex3f6b86c8

1064011464 has 192 divisors, whose sum is σ = 3184272000. Its totient is φ = 332107776.

The previous prime is 1064011439. The next prime is 1064011469. The reversal of 1064011464 is 4641104601.

1064011464 is a `hidden beast` number, since 1 + 0 + 640 + 1 + 14 + 6 + 4 = 666.

It is a super-2 number, since 2×10640114642 = 2264240791046846592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1064011469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2369512 + ... + 2369960.

It is an arithmetic number, because the mean of its divisors is an integer number (16584750).

Almost surely, 21064011464 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 1064011464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592136000).

1064011464 is an abundant number, since it is smaller than the sum of its proper divisors (2120260536).

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

1064011464 is a wasteful number, since it uses less digits than its factorization.

1064011464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1064011464 is about 32619.1885858615. The cubic root of 1064011464 is about 1020.8974109053.

The spelling of 1064011464 in words is "one billion, sixty-four million, eleven thousand, four hundred sixty-four".