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2604465168 = 2432371149223
BaseRepresentation
bin1001101100111100…
…1111110000010000
320201111202112112220
42123033033300100
520313220341133
61110234421040
7121353405624
oct23317176020
96644675486
102604465168
111117175258
12608291780
13326777466
141a9c85184
151039b35b3
hex9b3cfc10

2604465168 has 160 divisors (see below), whose sum is σ = 7199539200. Its totient is φ = 809571840.

The previous prime is 2604465167. The next prime is 2604465173. The reversal of 2604465168 is 8615644062.

2604465168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26044651682 = 13566477622650536448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2604465167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11679105 + ... + 11679327.

It is an arithmetic number, because the mean of its divisors is an integer number (44997120).

Almost surely, 22604465168 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 2604465168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599769600).

2604465168 is an abundant number, since it is smaller than the sum of its proper divisors (4595074032).

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

2604465168 is a wasteful number, since it uses less digits than its factorization.

2604465168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 2604465168 is about 51033.9609279938. The cubic root of 2604465168 is about 1375.8555852810.

The spelling of 2604465168 in words is "two billion, six hundred four million, four hundred sixty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 71 92 138 142 149 184 213 223 276 284 298 368 426 446 447 552 568 596 669 852 892 894 1104 1136 1192 1338 1633 1704 1784 1788 2384 2676 3266 3408 3427 3568 3576 4899 5129 5352 6532 6854 7152 9798 10258 10281 10579 10704 13064 13708 15387 15833 19596 20516 20562 21158 26128 27416 30774 31666 31737 33227 39192 41032 41124 42316 47499 54832 61548 63332 63474 66454 78384 82064 82248 84632 94998 99681 123096 126664 126948 132908 164496 169264 189996 199362 243317 246192 253328 253896 265816 364159 379992 398724 486634 507792 531632 728318 729951 759984 764221 797448 973268 1092477 1456636 1459902 1528442 1594896 1946536 2184954 2292663 2359117 2913272 2919804 3056884 3893072 4369908 4585326 4718234 5826544 5839608 6113768 7077351 8739816 9170652 9436468 11679216 12227536 14154702 17479632 18341304 18872936 28309404 36682608 37745872 54259691 56618808 108519382 113237616 162779073 217038764 325558146 434077528 651116292 868155056 1302232584 2604465168