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3422364610401 = 3211191819438921
BaseRepresentation
bin110001110011010100110…
…100111010111101100001
3110010011201110210120100200
4301303110310322331201
5422033000320013101
611140113530535413
7502154246131632
oct61632464727541
913104643716320
103422364610401
1110aa464668970
1247333ab97569
131ba95c6c0609
14bb90142b889
155e05478d986
hex31cd4d3af61

3422364610401 has 24 divisors (see below), whose sum is σ = 5676649436640. Its totient is φ = 1964994033600.

The previous prime is 3422364610367. The next prime is 3422364610421. The reversal of 3422364610401 is 1040164632243.

3422364610401 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 3 + 646 + 1 + 0 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 3422364610401 - 29 = 3422364609889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3422364610421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909717580 + ... + 909721341.

It is an arithmetic number, because the mean of its divisors is an integer number (236527059860).

Almost surely, 23422364610401 is an apocalyptic number.

It is an amenable number.

3422364610401 is a deficient number, since it is larger than the sum of its proper divisors (2254284826239).

3422364610401 is a wasteful number, since it uses less digits than its factorization.

3422364610401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819438957 (or 1819438954 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 3422364610401 in words is "three trillion, four hundred twenty-two billion, three hundred sixty-four million, six hundred ten thousand, four hundred one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 1819438921 5458316763 16374950289 20013828131 34569339499 60041484393 103708018497 180124453179 311124055491 380262734489 1140788203467 3422364610401