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2969986864 = 241341536571
BaseRepresentation
bin1011000100000110…
…0110011100110000
321122222112222001111
42301001212130300
522040304034424
61210413043104
7133412320555
oct26101463460
97588488044
102969986864
1112945310a9
126aa786494
133844065a0
14202632a2c
15125b16194
hexb1066730

2969986864 has 80 divisors (see below), whose sum is σ = 6468898464. Its totient is φ = 1311897600.

The previous prime is 2969986861. The next prime is 2969986913. The reversal of 2969986864 is 4686899692.

It is a self number, because there is not a number n which added to its sum of digits gives 2969986864.

It is not an unprimeable number, because it can be changed into a prime (2969986861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448699 + ... + 455269.

Almost surely, 22969986864 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 2969986864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234449232).

2969986864 is an abundant number, since it is smaller than the sum of its proper divisors (3498911600).

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

2969986864 is a wasteful number, since it uses less digits than its factorization.

2969986864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6686 (or 6680 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 67.

The square root of 2969986864 is about 54497.5858547881. The cubic root of 2969986864 is about 1437.4238379207.

The spelling of 2969986864 in words is "two billion, nine hundred sixty-nine million, nine hundred eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 41 52 53 82 104 106 164 208 212 328 424 533 656 689 848 1066 1378 2132 2173 2756 4264 4346 5512 6571 8528 8692 11024 13142 17384 26284 28249 34768 52568 56498 85423 105136 112996 170846 225992 269411 341692 348263 451984 538822 683384 696526 1077644 1366768 1393052 2155288 2786104 3502343 4310576 4527419 5572208 7004686 9054838 14009372 14278783 18109676 28018744 28557566 36219352 56037488 57115132 72438704 114230264 185624179 228460528 371248358 742496716 1484993432 2969986864