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261126116532 = 223217426676661
BaseRepresentation
bin1111001100110001010…
…1000101010010110100
3220222000022212010201100
43303030111011102310
513234241241212112
6315543142530100
724602643240201
oct3631425052264
9828008763640
10261126116532
11a0819981286
1242736736930
131b8161724b8
14c8d2350ca8
156bd49bb2dc
hex3ccc5454b4

261126116532 has 36 divisors (see below), whose sum is σ = 698896372356. Its totient is φ = 81921918720.

The previous prime is 261126116509. The next prime is 261126116567. The reversal of 261126116532 is 235611621162.

261126116532 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 2 + 6 + 116 + 532 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 210301119396 + 50824997136 = 458586^2 + 225444^2 .

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 (36).

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, 213337719 + ... + 213338942.

It is an arithmetic number, because the mean of its divisors is an integer number (19413788121).

Almost surely, 2261126116532 is an apocalyptic number.

It is an amenable number.

261126116532 is an abundant number, since it is smaller than the sum of its proper divisors (437770255824).

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

261126116532 is a wasteful number, since it uses less digits than its factorization.

261126116532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426676688 (or 426676683 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

Adding to 261126116532 its reverse (235611621162), we get a palindrome (496737737694).

The spelling of 261126116532 in words is "two hundred sixty-one billion, one hundred twenty-six million, one hundred sixteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 426676661 853353322 1280029983 1706706644 2560059966 3840089949 5120119932 7253503237 7680179898 14507006474 15360359796 21760509711 29014012948 43521019422 65281529133 87042038844 130563058266 261126116532