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107727822792 = 23324728232
BaseRepresentation
bin110010001010100010…
…1000001111111001000
3101022001201220102012200
41210111011001333020
53231111310312132
6121253421040200
710532411246052
oct1442505017710
9338051812180
10107727822792
1141761602807
1218a659b6060
13a20a846a55
1452dd5188d2
152c078bed7c
hex1915141fc8

107727822792 has 108 divisors (see below), whose sum is σ = 298465307595. Its totient is φ = 35102543328.

The previous prime is 107727822791. The next prime is 107727822799. The reversal of 107727822792 is 297228727701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 53863911396 + 53863911396 = 232086^2 + 232086^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=232086.

It is not an unprimeable number, because it can be changed into a prime (107727822791) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 130896093 + ... + 130896915.

Almost surely, 2107727822792 is an apocalyptic number.

107727822792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107727822792

107727822792 is an abundant number, since it is smaller than the sum of its proper divisors (190737484803).

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

107727822792 is an frugal number, since it uses more digits than its factorization.

107727822792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 54.

The spelling of 107727822792 in words is "one hundred seven billion, seven hundred twenty-seven million, eight hundred twenty-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 823 846 1128 1646 1692 2209 2469 3292 3384 4418 4938 6584 6627 7407 8836 9876 13254 14814 17672 19752 19881 26508 29628 38681 39762 53016 59256 77362 79524 116043 154724 159048 232086 309448 348129 464172 677329 696258 928344 1354658 1392516 1818007 2031987 2709316 2785032 3636014 4063974 5418632 5454021 6095961 7272028 8127948 10908042 12191922 14544056 16255896 16362063 21816084 24383844 31834463 32724126 43632168 48767688 63668926 65448252 95503389 127337852 130896504 191006778 254675704 286510167 382013556 573020334 764027112 1146040668 1496219761 2292081336 2992439522 4488659283 5984879044 8977318566 11969758088 13465977849 17954637132 26931955698 35909274264 53863911396 107727822792