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2368990608 = 243538910463
BaseRepresentation
bin1000110100110011…
…1110110110010000
320010002200012011220
42031030332312100
514322430144413
61031023405040
7112464042105
oct21514766620
96102605156
102368990608
111006262786
12561453780
132b9a4c3ba
141868aaaac
15dce9d223
hex8d33ed90

2368990608 has 80 divisors (see below), whose sum is σ = 6306024960. Its totient is φ = 765985792.

The previous prime is 2368990607. The next prime is 2368990609. The reversal of 2368990608 is 8060998632.

2368990608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2368990607) and next prime (2368990609).

It is a super-2 number, since 2×23689906082 = 11224233001584419328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2368990607) 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, 221185 + ... + 231647.

It is an arithmetic number, because the mean of its divisors is an integer number (78825312).

Almost surely, 22368990608 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 2368990608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153012480).

2368990608 is an abundant number, since it is smaller than the sum of its proper divisors (3937034352).

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

2368990608 is a wasteful number, since it uses less digits than its factorization.

2368990608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10616 (or 10610 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 2368990608 is about 48672.2776126205. The cubic root of 2368990608 is about 1333.0745776763.

The spelling of 2368990608 in words is "two billion, three hundred sixty-eight million, nine hundred ninety thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 89 106 159 178 212 267 318 356 424 534 636 712 848 1068 1272 1424 2136 2544 4272 4717 9434 10463 14151 18868 20926 28302 31389 37736 41852 56604 62778 75472 83704 113208 125556 167408 226416 251112 502224 554539 931207 1109078 1663617 1862414 2218156 2793621 3327234 3724828 4436312 5587242 6654468 7449656 8872624 11174484 13308936 14899312 22348968 26617872 44697936 49353971 98707942 148061913 197415884 296123826 394831768 592247652 789663536 1184495304 2368990608