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5416456164 = 223783776887
BaseRepresentation
bin1010000101101100…
…01000111111100100
3111222111000111000120
411002312020333210
542043103044124
62253245241540
7251140055250
oct50266107744
914874014016
105416456164
11232a4a2759
121071b632b0
13684212562
1439550b260
1521a7bad79
hex142d88fe4

5416456164 has 48 divisors (see below), whose sum is σ = 14617924608. Its totient is φ = 1528911648.

The previous prime is 5416456153. The next prime is 5416456181. The reversal of 5416456164 is 4616546145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381472 + ... + 395415.

It is an arithmetic number, because the mean of its divisors is an integer number (304540096).

Almost surely, 25416456164 is an apocalyptic number.

It is an amenable number.

5416456164 is an abundant number, since it is smaller than the sum of its proper divisors (9201468444).

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

5416456164 is a wasteful number, since it uses less digits than its factorization.

5416456164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776984 (or 776982 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 5416456164 is about 73596.5771214939. The cubic root of 5416456164 is about 1756.1909880772.

The spelling of 5416456164 in words is "five billion, four hundred sixteen million, four hundred fifty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1743 2324 3486 6972 776887 1553774 2330661 3107548 4661322 5438209 9322644 10876418 16314627 21752836 32629254 64481621 65258508 128963242 193444863 257926484 386889726 451371347 773779452 902742694 1354114041 1805485388 2708228082 5416456164