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126651418632 = 2332419412
BaseRepresentation
bin111010111110100000…
…0110100100000001000
3110002220112222200112200
41311331000310200020
54033340230344012
6134103255240200
712102353203314
oct1657500644010
9402815880480
10126651418632
1149792473412
1220667379060
13bc35212a3b
1461b6884b44
153463db63dc
hex1d7d034808

126651418632 has 36 divisors (see below), whose sum is σ = 343022437485. Its totient is φ = 42216132960.

The previous prime is 126651418609. The next prime is 126651418639. The reversal of 126651418632 is 236814156621.

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.

126651418632 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 5 + 1 + 4 + 1 + 8 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79764445476 + 46886973156 = 282426^2 + 216534^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=251646.

It is not an unprimeable number, because it can be changed into a prime (126651418639) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2998782 + ... + 3040722.

Almost surely, 2126651418632 is an apocalyptic number.

126651418632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126651418632 is an abundant number, since it is smaller than the sum of its proper divisors (216371018853).

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

126651418632 is an frugal number, since it uses more digits than its factorization.

126651418632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83894 (or 41946 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 126651418632 in words is "one hundred twenty-six billion, six hundred fifty-one million, four hundred eighteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 41941 83882 125823 167764 251646 335528 377469 503292 754938 1006584 1509876 3019752 1759047481 3518094962 5277142443 7036189924 10554284886 14072379848 15831427329 21108569772 31662854658 42217139544 63325709316 126651418632