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6996296384 = 267111917433
BaseRepresentation
bin1101000010000001…
…10000001011000000
3200001120202200101022
412201000300023000
5103312022441014
63114122525012
7335242352360
oct64100601300
920046680338
106996296384
112a70255030
121433066768
1387660a25c
144a52749a0
152ae336a8e
hex1a10302c0

6996296384 has 112 divisors (see below), whose sum is σ = 17401982976. Its totient is φ = 2711193600.

The previous prime is 6996296353. The next prime is 6996296393. The reversal of 6996296384 is 4836926996.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937532 + ... + 944964.

It is an arithmetic number, because the mean of its divisors is an integer number (155374848).

Almost surely, 26996296384 is an apocalyptic number.

6996296384 is a gapful number since it is divisible by the number (64) 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 6996296384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8700991488).

6996296384 is an abundant number, since it is smaller than the sum of its proper divisors (10405686592).

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

6996296384 is a wasteful number, since it uses less digits than its factorization.

6996296384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654 (or 7644 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 62.

The square root of 6996296384 is about 83643.8663860059. The cubic root of 6996296384 is about 1912.5937536109.

The spelling of 6996296384 in words is "six billion, nine hundred ninety-six million, two hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 191 224 308 352 382 448 616 704 764 1232 1337 1528 2101 2464 2674 3056 4202 4928 5348 6112 7433 8404 10696 12224 14707 14866 16808 21392 29414 29732 33616 42784 52031 58828 59464 67232 81763 85568 104062 117656 118928 134464 163526 208124 235312 237856 327052 416248 470624 475712 572341 654104 832496 941248 1144682 1308208 1419703 1664992 2289364 2616416 2839406 3329984 4578728 5232832 5678812 9157456 9937921 11357624 15616733 18314912 19875842 22715248 31233466 36629824 39751684 45430496 62466932 79503368 90860992 109317131 124933864 159006736 218634262 249867728 318013472 437268524 499735456 636026944 874537048 999470912 1749074096 3498148192 6996296384