Search a number
-
+
426764102720 = 2651333637821
BaseRepresentation
bin1100011010111010001…
…11110110110001000000
31111210112220221122210112
412031131013312301000
523443003102241340
6524015215450452
742555420010004
oct6153507666100
91453486848715
10426764102720
11154a9823495a
126a862526a28
13313224a6607
141692695a704
15b17b3d3065
hex635d1f6c40

426764102720 has 28 divisors (see below), whose sum is σ = 1016232020364. Its totient is φ = 170705640960.

The previous prime is 426764102663. The next prime is 426764102759. The reversal of 426764102720 is 27201467624.

It can be written as a sum of positive squares in 2 ways, for example, as 333704939584 + 93059163136 = 577672^2 + 305056^2 .

It is a super-2 number, since 2×4267641027202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 666818591 + ... + 666819230.

Almost surely, 2426764102720 is an apocalyptic number.

426764102720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426764102720 is an abundant number, since it is smaller than the sum of its proper divisors (589467917644).

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

426764102720 is a wasteful number, since it uses less digits than its factorization.

426764102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333637838 (or 1333637828 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 426764102720 in words is "four hundred twenty-six billion, seven hundred sixty-four million, one hundred two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1333637821 2667275642 5334551284 6668189105 10669102568 13336378210 21338205136 26672756420 42676410272 53345512840 85352820544 106691025680 213382051360 426764102720