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6933489664 = 21141711163
BaseRepresentation
bin1100111010100010…
…01010100000000000
3122220012120202202111
412131101022200000
5103144433132124
63104000425104
7333550455403
oct63521124000
918805522674
106933489664
112a38857452
121416018194
138665b990a
1449aba5d3a
152a8a7c494
hex19d44a800

6933489664 has 96 divisors (see below), whose sum is σ = 14414137920. Its totient is φ = 3331686400.

The previous prime is 6933489659. The next prime is 6933489677. The reversal of 6933489664 is 4669843396.

It is a junction number, because it is equal to n+sod(n) for n = 6933489599 and 6933489608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5961147 + ... + 5962309.

It is an arithmetic number, because the mean of its divisors is an integer number (150147270).

Almost surely, 26933489664 is an apocalyptic number.

6933489664 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 6933489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207068960).

6933489664 is an abundant number, since it is smaller than the sum of its proper divisors (7480648256).

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

6933489664 is a wasteful number, since it uses less digits than its factorization.

6933489664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1277 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 58.

The square root of 6933489664 is about 83267.5787086427. The cubic root of 6933489664 is about 1906.8533354875.

The spelling of 6933489664 in words is "six billion, nine hundred thirty-three million, four hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 71 82 128 142 164 256 284 328 512 568 656 1024 1136 1163 1312 2048 2272 2326 2624 2911 4544 4652 5248 5822 9088 9304 10496 11644 18176 18608 20992 23288 36352 37216 41984 46576 47683 72704 74432 82573 83968 93152 95366 145408 148864 165146 186304 190732 297728 330292 372608 381464 595456 660584 745216 762928 1190912 1321168 1490432 1525856 2381824 2642336 2980864 3051712 3385493 5284672 5961728 6103424 6770986 10569344 12206848 13541972 21138688 24413696 27083944 42277376 48827392 54167888 84554752 97654784 108335776 169109504 216671552 433343104 866686208 1733372416 3466744832 6933489664