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2516260164 = 2231171268487
BaseRepresentation
bin1001010111111011…
…0001010101000100
320111100210021000220
42111332301111010
520123130311124
61053404104340
7116232600315
oct22576612504
96440707026
102516260164
1110813aa560
125a28350b0
13311403552
1419c28460c
15ead8d879
hex95fb1544

2516260164 has 48 divisors (see below), whose sum is σ = 6495261696. Its totient is φ = 751760800.

The previous prime is 2516260069. The next prime is 2516260181. The reversal of 2516260164 is 4610626152.

2516260164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 124872 + ... + 143615.

It is an arithmetic number, because the mean of its divisors is an integer number (135317952).

Almost surely, 22516260164 is an apocalyptic number.

It is an amenable number.

2516260164 is an abundant number, since it is smaller than the sum of its proper divisors (3979001532).

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

2516260164 is a wasteful number, since it uses less digits than its factorization.

2516260164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268576 (or 268574 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2516260164 is about 50162.3381034018. The cubic root of 2516260164 is about 1360.1449103087.

The spelling of 2516260164 in words is "two billion, five hundred sixteen million, two hundred sixty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 3124 4686 9372 268487 536974 805461 1073948 1610922 2953357 3221844 5906714 8860071 11813428 17720142 19062577 35440284 38125154 57187731 76250308 114375462 209688347 228750924 419376694 629065041 838753388 1258130082 2516260164