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2869468704 = 253215165983
BaseRepresentation
bin1010101100001000…
…1001111000100000
321101222102010001200
42223002021320200
521334040444304
61152422401200
7131052036654
oct25302117040
97358363050
102869468704
111242816343
12680b90200
13369640c9b
141d3148a64
1511bdace39
hexab089e20

2869468704 has 72 divisors (see below), whose sum is σ = 8214216192. Its totient is φ = 950140800.

The previous prime is 2869468703. The next prime is 2869468727. The reversal of 2869468704 is 4078649682.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2869468703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10497 + ... + 76479.

It is an arithmetic number, because the mean of its divisors is an integer number (114086336).

Almost surely, 22869468704 is an apocalyptic number.

2869468704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2869468704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107108096).

2869468704 is an abundant number, since it is smaller than the sum of its proper divisors (5344747488).

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

2869468704 is a wasteful number, since it uses less digits than its factorization.

2869468704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66150 (or 66139 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2869468704 is about 53567.4220398929. The cubic root of 2869468704 is about 1421.0210047767.

The spelling of 2869468704 in words is "two billion, eight hundred sixty-nine million, four hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1812 2416 2718 3624 4832 5436 7248 10872 14496 21744 43488 65983 131966 197949 263932 395898 527864 593847 791796 1055728 1187694 1583592 2111456 2375388 3167184 4750776 6334368 9501552 9963433 19003104 19926866 29890299 39853732 59780598 79707464 89670897 119561196 159414928 179341794 239122392 318829856 358683588 478244784 717367176 956489568 1434734352 2869468704