Search a number
-
+
426689618976 = 25321481561177
BaseRepresentation
bin1100011010110001010…
…11101110010000100000
31111210100201210111022100
412031120223232100200
523442330020301401
6524003555210400
742553523630145
oct6153053562040
91453321714270
10426689618976
11154a5a191145
126a8415a6a00
133130cc27caa
141691aacc3cc
15b174abdb86
hex6358aee420

426689618976 has 36 divisors (see below), whose sum is σ = 1213398604782. Its totient is φ = 142229872896.

The previous prime is 426689618939. The next prime is 426689618983. The reversal of 426689618976 is 679816986624.

426689618976 is a `hidden beast` number, since 426 + 68 + 9 + 61 + 89 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 214054275600 + 212635343376 = 462660^2 + 461124^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 5 ways as a sum of consecutive naturals, for example, 740780301 + ... + 740780876.

Almost surely, 2426689618976 is an apocalyptic number.

It is an amenable number.

426689618976 is an abundant number, since it is smaller than the sum of its proper divisors (786708985806).

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

426689618976 is a wasteful number, since it uses less digits than its factorization.

426689618976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481561193 (or 1481561182 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 426689618976 in words is "four hundred twenty-six billion, six hundred eighty-nine million, six hundred eighteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1481561177 2963122354 4444683531 5926244708 8889367062 11852489416 13334050593 17778734124 23704978832 26668101186 35557468248 47409957664 53336202372 71114936496 106672404744 142229872992 213344809488 426689618976