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914045664 = 253717293189
BaseRepresentation
bin110110011110110…
…011101011100000
32100200221022221010
4312132303223200
53332443430124
6230411100520
731436155110
oct6636635340
92320838833
10914045664
11429a56044
12216141740
131174a382c
1489575040
15553a3529
hex367b3ae0

914045664 has 384 divisors, whose sum is σ = 3135283200. Its totient is φ = 227082240.

The previous prime is 914045663. The next prime is 914045687. The reversal of 914045664 is 466540419.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (914045663) 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 63 ways as a sum of consecutive naturals, for example, 10270132 + ... + 10270220.

It is an arithmetic number, because the mean of its divisors is an integer number (8164800).

Almost surely, 2914045664 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 914045664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567641600).

914045664 is an abundant number, since it is smaller than the sum of its proper divisors (2221237536).

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

914045664 is a wasteful number, since it uses less digits than its factorization.

914045664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 914045664 is about 30233.1881216652. The cubic root of 914045664 is about 970.4860510895.

The spelling of 914045664 in words is "nine hundred fourteen million, forty-five thousand, six hundred sixty-four".