Search a number
-
+
91846436134912 = 21393711965553
BaseRepresentation
bin10100111000100010101010…
…001100110010000000000000
3110001012102201001102111201121
4110320202222030302000000
544014303000122304122
6523201400440042024
725226454210616354
oct2470425214620000
9401172631374647
1091846436134912
11272a0944848248
12a374555763314
133c3310a834a34
14189756975b464
15a9420ae54bc7
hex5388aa332000

91846436134912 has 56 divisors (see below), whose sum is σ = 183877707568716. Its totient is φ = 45874203328512.

The previous prime is 91846436134909. The next prime is 91846436134913. The reversal of 91846436134912 is 21943163464819.

It can be written as a sum of positive squares in 2 ways, for example, as 91815030624256 + 31405510656 = 9582016^2 + 177216^2 .

It is not an unprimeable number, because it can be changed into a prime (91846436134913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1693128 + ... + 13658680.

Almost surely, 291846436134912 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 91846436134912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91938853784358).

91846436134912 is an abundant number, since it is smaller than the sum of its proper divisors (92031271433804).

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

91846436134912 is an equidigital number, since it uses as much as digits as its factorization.

91846436134912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11966516 (or 11966492 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 61.

The spelling of 91846436134912 in words is "ninety-one trillion, eight hundred forty-six billion, four hundred thirty-six million, one hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 937 1024 1874 2048 3748 4096 7496 8192 14992 29984 59968 119936 239872 479744 959488 1918976 3837952 7675904 11965553 23931106 47862212 95724424 191448848 382897696 765795392 1531590784 3063181568 6126363136 11211723161 12252726272 22423446322 24505452544 44846892644 49010905088 89693785288 98021810176 179387570576 358775141152 717550282304 1435100564608 2870201129216 5740402258432 11480804516864 22961609033728 45923218067456 91846436134912