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612105664 = 2631308521
BaseRepresentation
bin100100011110111…
…111110111000000
31120122210012010011
4210132333313000
52223144340124
6140423314304
721111545422
oct4436776700
91518705104
10612105664
11294577055
12150bab994
1399a76a01
145b418812
1538b0e994
hex247bfdc0

612105664 has 28 divisors (see below), whose sum is σ = 1253833408. Its totient is φ = 296179200.

The previous prime is 612105649. The next prime is 612105677. The reversal of 612105664 is 466501216.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 152277 + ... + 156244.

Almost surely, 2612105664 is an apocalyptic number.

612105664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

612105664 is an abundant number, since it is smaller than the sum of its proper divisors (641727744).

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

612105664 is a wasteful number, since it uses less digits than its factorization.

612105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308564 (or 308554 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 612105664 is about 24740.7692685575. The cubic root of 612105664 is about 849.0673340963.

It can be divided in two parts, 612 and 105664, that added together give a square (106276 = 3262).

The spelling of 612105664 in words is "six hundred twelve million, one hundred five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 308521 617042 1234084 2468168 4936336 9564151 9872672 19128302 19745344 38256604 76513208 153026416 306052832 612105664