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2569016868 = 2231141479991
BaseRepresentation
bin1001100100100000…
…0001011000100100
320122001001120121220
42121020001120210
520230132014433
61102530540340
7120443166045
oct23110013044
96561046556
102569016868
1110a9163440
125b84376b0
1331c315632
141a52988cc
151008102b3
hex99201624

2569016868 has 96 divisors (see below), whose sum is σ = 6719569920. Its totient is φ = 757152000.

The previous prime is 2569016867. The next prime is 2569016869. The reversal of 2569016868 is 8686109652.

It is an interprime number because it is at equal distance from previous prime (2569016867) and next prime (2569016869).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2569016868.

It is not an unprimeable number, because it can be changed into a prime (2569016867) 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, 2591853 + ... + 2592843.

It is an arithmetic number, because the mean of its divisors is an integer number (69995520).

Almost surely, 22569016868 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 2569016868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359784960).

2569016868 is an abundant number, since it is smaller than the sum of its proper divisors (4150553052).

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

2569016868 is a wasteful number, since it uses less digits than its factorization.

2569016868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 2569016868 is about 50685.4699889426. The cubic root of 2569016868 is about 1369.5849823586.

The spelling of 2569016868 in words is "two billion, five hundred sixty-nine million, sixteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 479 492 902 958 991 1353 1437 1804 1916 1982 2706 2874 2973 3964 5269 5412 5748 5946 10538 10901 11892 15807 19639 21076 21802 31614 32703 39278 40631 43604 58917 63228 65406 78556 81262 117834 121893 130812 162524 216029 235668 243786 432058 446941 474689 487572 648087 864116 893882 949378 1296174 1340823 1424067 1787764 1898756 2592348 2681646 2848134 5221579 5363292 5696268 10443158 15664737 19462249 20886316 31329474 38924498 58386747 62658948 77848996 116773494 214084739 233546988 428169478 642254217 856338956 1284508434 2569016868