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3626131134420 = 2232520145172969
BaseRepresentation
bin110100110001000110010…
…000100001011111010100
3110211122200022110111110200
4310301012100201133110
5433402304032300140
611413453250420500
7522656624041344
oct64610620413724
913748608414420
103626131134420
111178919546333
124a6927b91730
13203c34155a12
14c7711848d24
15644cd71a030
hex34c464217d4

3626131134420 has 36 divisors (see below), whose sum is σ = 10999264441620. Its totient is φ = 966968302464.

The previous prime is 3626131134413. The next prime is 3626131134427. The reversal of 3626131134420 is 244311316263.

3626131134420 is a `hidden beast` number, since 3 + 6 + 2 + 613 + 1 + 1 + 34 + 4 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3626131134413) and next prime (3626131134427).

It can be written as a sum of positive squares in 2 ways, for example, as 713879667396 + 2912251467024 = 844914^2 + 1706532^2 .

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

It is a super-2 number, since 2×36261311344202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3626131134427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10072586305 + ... + 10072586664.

Almost surely, 23626131134420 is an apocalyptic number.

3626131134420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3626131134420 is an abundant number, since it is smaller than the sum of its proper divisors (7373133307200).

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

3626131134420 is a wasteful number, since it uses less digits than its factorization.

3626131134420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20145172984 (or 20145172979 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 3626131134420 in words is "three trillion, six hundred twenty-six billion, one hundred thirty-one million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 20145172969 40290345938 60435518907 80580691876 100725864845 120871037814 181306556721 201451729690 241742075628 302177594535 362613113442 402903459380 604355189070 725226226884 906532783605 1208710378140 1813065567210 3626131134420