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413450054352 = 24331093875627
BaseRepresentation
bin1100000010000111000…
…10110010101011010000
31110112012001012220222000
412001003202302223100
523233221203214402
6513534125314000
741604451322316
oct6010342625320
91415161186860
10413450054352
1114a3858602a5
1268167705900
132ccb002869a
14160226020b6
15ab4c5e9c1c
hex60438b2ad0

413450054352 has 80 divisors (see below), whose sum is σ = 1187841919680. Its totient is φ = 137690437248.

The previous prime is 413450054351. The next prime is 413450054357. The reversal of 413450054352 is 253450054314.

413450054352 is a `hidden beast` number, since 4 + 13 + 4 + 50 + 0 + 543 + 52 = 666.

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 (413450054351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34363 + ... + 909989.

It is an arithmetic number, because the mean of its divisors is an integer number (14848023996).

Almost surely, 2413450054352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413450054352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593920959840).

413450054352 is an abundant number, since it is smaller than the sum of its proper divisors (774391865328).

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

413450054352 is a wasteful number, since it uses less digits than its factorization.

413450054352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876737 (or 876725 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 413450054352 in words is "four hundred thirteen billion, four hundred fifty million, fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1093 2186 3279 4372 6558 8744 9837 13116 17488 19674 26232 29511 39348 52464 59022 78696 118044 157392 236088 472176 875627 1751254 2626881 3502508 5253762 7005016 7880643 10507524 14010032 15761286 21015048 23641929 31522572 42030096 47283858 63045144 94567716 126090288 189135432 378270864 957060311 1914120622 2871180933 3828241244 5742361866 7656482488 8613542799 11484723732 15312964976 17227085598 22969447464 25840628397 34454171196 45938894928 51681256794 68908342392 103362513588 137816684784 206725027176 413450054352