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1640646656 = 21111193833
BaseRepresentation
bin110000111001010…
…0100100000000000
311020100011111002222
41201302210200000
511330001143111
6430444430212
755441160255
oct14162444000
94210144088
101640646656
11772114130
12399548368
13201b97a4c
14117c7542c
159907c7db
hex61ca4800

1640646656 has 96 divisors (see below), whose sum is σ = 3768055200. Its totient is φ = 706314240.

The previous prime is 1640646653. The next prime is 1640646731. The reversal of 1640646656 is 6566460461.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (1640646653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426116 + ... + 429948.

It is an arithmetic number, because the mean of its divisors is an integer number (39250575).

Almost surely, 21640646656 is an apocalyptic number.

1640646656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640646656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884027600).

1640646656 is an abundant number, since it is smaller than the sum of its proper divisors (2127408544).

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

1640646656 is a wasteful number, since it uses less digits than its factorization.

1640646656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The square root of 1640646656 is about 40504.8966916347. The cubic root of 1640646656 is about 1179.4286844598.

The spelling of 1640646656 in words is "one billion, six hundred forty million, six hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 1024 1216 1408 1672 2048 2432 2816 3344 3833 4864 5632 6688 7666 9728 11264 13376 15332 19456 22528 26752 30664 38912 42163 53504 61328 72827 84326 107008 122656 145654 168652 214016 245312 291308 337304 428032 490624 582616 674608 801097 981248 1165232 1349216 1602194 1962496 2330464 2698432 3204388 3924992 4660928 5396864 6408776 7849984 9321856 10793728 12817552 18643712 21587456 25635104 37287424 43174912 51270208 74574848 86349824 102540416 149149696 205080832 410161664 820323328 1640646656