Search a number
-
+
427998574656 = 2632272592
BaseRepresentation
bin1100011101001101011…
…00111111100001000000
31111220201221211022221100
412032212230333201000
524003020113342111
6524341514454400
742631126600362
oct6164654774100
91456657738840
10427998574656
111555710459a4
126ab47a34400
133148b17a393
1416a028a0d32
15b1ee97c756
hex63a6b3f840

427998574656 has 63 divisors (see below), whose sum is σ = 1226825642991. Its totient is φ = 142660957824.

The previous prime is 427998574637. The next prime is 427998574673. The reversal of 427998574656 is 656475899724.

The square root of 427998574656 is 654216.

It is a perfect power (a square), and thus also a powerful number.

427998574656 is a `hidden beast` number, since 4 + 2 + 79 + 98 + 5 + 7 + 465 + 6 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15687555 + ... + 15714813.

Almost surely, 2427998574656 is an apocalyptic number.

427998574656 is the 654216-th square number.

It is an amenable number.

427998574656 is an abundant number, since it is smaller than the sum of its proper divisors (798827068335).

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

427998574656 is an frugal number, since it uses more digits than its factorization.

427998574656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54536 (or 27264 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 427998574656 in words is "four hundred twenty-seven billion, nine hundred ninety-eight million, five hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 27259 54518 81777 109036 163554 218072 245331 327108 436144 490662 654216 872288 981324 1308432 1744576 1962648 2616864 3925296 5233728 7850592 15701184 743053081 1486106162 2229159243 2972212324 4458318486 5944424648 6687477729 8916636972 11888849296 13374955458 17833273944 23777698592 26749910916 35666547888 47555397184 53499821832 71333095776 106999643664 142666191552 213999287328 427998574656