Search a number
-
+
675556040655576 = 233282311400635221
BaseRepresentation
bin1001100110011010100010010…
…1110101000100001011011000
310021120221112020000020001102200
42121212220211311010023120
51202021302232401434301
610352442054413330200
7262203212312254353
oct23146504565041330
93246845200201380
10675556040655576
11186286787271003
1263927353196960
1322cc4879ac7182
14bcb713038329a
155317b69d76c86
hex2666a25d442d8

675556040655576 has 48 divisors (see below), whose sum is σ = 1831854067470960. Its totient is φ = 224911731620160.

The previous prime is 675556040655523. The next prime is 675556040655589.

675556040655576 is a `hidden beast` number, since 6 + 7 + 5 + 5 + 5 + 6 + 0 + 4 + 0 + 65 + 557 + 6 = 666.

675556040655576 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5700258355 + ... + 5700376866.

It is an arithmetic number, because the mean of its divisors is an integer number (38163626405645).

Almost surely, 2675556040655576 is an apocalyptic number.

It is an amenable number.

675556040655576 is an abundant number, since it is smaller than the sum of its proper divisors (1156298026815384).

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

675556040655576 is a wasteful number, since it uses less digits than its factorization.

675556040655576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11400636056 (or 11400636049 counting only the distinct ones).

The product of its (nonzero) digits is 3969000000, while the sum is 72.

The spelling of 675556040655576 in words is "six hundred seventy-five trillion, five hundred fifty-six billion, forty million, six hundred fifty-five thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 823 1646 2469 3292 4938 6584 7407 9876 14814 19752 29628 59256 11400635221 22801270442 34201905663 45602540884 68403811326 91205081768 102605716989 136807622652 205211433978 273615245304 410422867956 820845735912 9382722786883 18765445573766 28148168360649 37530891147532 56296336721298 75061782295064 84444505081947 112592673442596 168889010163894 225185346885192 337778020327788 675556040655576