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413057641854 = 2311131297371179
BaseRepresentation
bin1100000001011000010…
…01110110110101111110
31110111011200211022012210
412000230021312311332
523231420224014404
6513431150441250
741561645011464
oct6005411666576
91414150738183
10413057641854
1114a1a42a7a50
1268078203226
132cc49942840
1415dc6454834
15ab27e34689
hex602c276d7e

413057641854 has 64 divisors (see below), whose sum is σ = 971291946240. Its totient is φ = 115451205120.

The previous prime is 413057641849. The next prime is 413057641921. The reversal of 413057641854 is 458146750314.

413057641854 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 927237 + ... + 1298415.

It is an arithmetic number, because the mean of its divisors is an integer number (15176436660).

Almost surely, 2413057641854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413057641854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485645973120).

413057641854 is an abundant number, since it is smaller than the sum of its proper divisors (558234304386).

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

413057641854 is a wasteful number, since it uses less digits than its factorization.

413057641854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372505.

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 413057641854 in words is "four hundred thirteen billion, fifty-seven million, six hundred forty-one thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 1297 2594 3891 7782 14267 16861 28534 33722 42801 50583 85602 101166 185471 370942 371179 556413 742358 1112826 1113537 2227074 4082969 4825327 8165938 9650654 12248907 14475981 24497814 28951962 53078597 106157194 159235791 318471582 481419163 962838326 1444257489 2888514978 5295610793 6258449119 10591221586 12516898238 15886832379 18775347357 31773664758 37550694714 68842940309 137685880618 206528820927 413057641854