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6821923989696 = 263791021440507
BaseRepresentation
bin110001101000101101001…
…0110110010100011000000
3220011011120121112100211020
41203101122112302203000
51343232300020132241
622301540522345440
71302603431103414
oct143213226624300
926134517470736
106821923989696
1121a01862770a2
1292217465b280
133a63c649702a
1419827bb8ad44
15bc6c1d91b66
hex6345a5b28c0

6821923989696 has 112 divisors (see below), whose sum is σ = 18296094512640. Its totient is φ = 2242986071040.

The previous prime is 6821923989659. The next prime is 6821923989697. The reversal of 6821923989696 is 6969893291286.

It is not an unprimeable number, because it can be changed into a prime (6821923989697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15266275 + ... + 15706781.

It is an arithmetic number, because the mean of its divisors is an integer number (163357986720).

Almost surely, 26821923989696 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 6821923989696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9148047256320).

6821923989696 is an abundant number, since it is smaller than the sum of its proper divisors (11474170522944).

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

6821923989696 is a wasteful number, since it uses less digits than its factorization.

6821923989696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441622 (or 441612 counting only the distinct ones).

The product of its digits is 1088391168, while the sum is 78.

The spelling of 6821923989696 in words is "six trillion, eight hundred twenty-one billion, nine hundred twenty-three million, nine hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1021 1264 1896 2042 2528 3063 3792 4084 5056 6126 7584 8168 12252 15168 16336 24504 32672 49008 65344 80659 98016 161318 196032 241977 322636 440507 483954 645272 881014 967908 1290544 1321521 1762028 1935816 2581088 2643042 3524056 3871632 5162176 5286084 7048112 7743264 10572168 14096224 15486528 21144336 28192448 34800053 42288672 69600106 84577344 104400159 139200212 208800318 278400424 417600636 449757647 556800848 835201272 899515294 1113601696 1349272941 1670402544 1799030588 2227203392 2698545882 3340805088 3598061176 5397091764 6681610176 7196122352 10794183528 14392244704 21588367056 28784489408 35530854113 43176734112 71061708226 86353468224 106592562339 142123416452 213185124678 284246832904 426370249356 568493665808 852740498712 1136987331616 1705480997424 2273974663232 3410961994848 6821923989696