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1294105664 = 2631253397
BaseRepresentation
bin100110100100010…
…0111110001000000
310100012002101020102
41031020213301000
510122242340124
6332225101532
744032500545
oct11510476100
93305071212
101294105664
11604541815
123014878a8
131781530c7
14c3c28bcc
1578928aae
hex4d227c40

1294105664 has 84 divisors (see below), whose sum is σ = 2710377612. Its totient is φ = 612817920.

The previous prime is 1294105663. The next prime is 1294105691. The reversal of 1294105664 is 4665014921.

It can be written as a sum of positive squares in 2 ways, for example, as 900480064 + 393625600 = 30008^2 + 19840^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1294105663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3259514 + ... + 3259910.

Almost surely, 21294105664 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 1294105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355188806).

1294105664 is an abundant number, since it is smaller than the sum of its proper divisors (1416271948).

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

1294105664 is an equidigital number, since it uses as much as digits as its factorization.

1294105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 1294105664 is about 35973.6801564700. The cubic root of 1294105664 is about 1089.7408872630.

The spelling of 1294105664 in words is "one billion, two hundred ninety-four million, one hundred five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 124 212 248 397 424 496 794 848 961 992 1588 1643 1696 1922 1984 3176 3286 3392 3844 6352 6572 7688 12307 12704 13144 15376 21041 24614 25408 26288 30752 42082 49228 50933 52576 61504 84164 98456 101866 105152 168328 196912 203732 336656 381517 393824 407464 652271 673312 763034 787648 814928 1304542 1346624 1526068 1629856 2609084 3052136 3259712 5218168 6104272 10436336 12208544 20220401 20872672 24417088 40440802 41745344 80881604 161763208 323526416 647052832 1294105664