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5826256647696 = 2434670492
BaseRepresentation
bin101010011001000011111…
…1101010011011000010000
3202121222120211202202210000
41110302013331103120100
51230424133200211241
620220313444010000
71140635033246352
oct124620775233020
922558524682700
105826256647696
1119469a0a952a1
127a1201690900
1333354ba13764
14161dc6d2d0d2
15a184abb0eb6
hex54c87f53610

5826256647696 has 75 divisors (see below), whose sum is σ = 16863128576701. Its totient is φ = 1942056584064.

The previous prime is 5826256647583. The next prime is 5826256647719. The reversal of 5826256647696 is 6967466526285.

The square root of 5826256647696 is 2413764.

It is a perfect power (a square), and thus also a powerful number.

5826256647696 is a `hidden beast` number, since 5 + 8 + 2 + 6 + 2 + 5 + 66 + 476 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2136169326096 + 3690087321600 = 1461564^2 + 1920960^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 86861980 + ... + 86929028.

Almost surely, 25826256647696 is an apocalyptic number.

5826256647696 is the 2413764-th square number.

It is an amenable number.

5826256647696 is an abundant number, since it is smaller than the sum of its proper divisors (11036871929005).

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

5826256647696 is an frugal number, since it uses more digits than its factorization.

5826256647696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134118 (or 67054 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 5826256647696 in words is "five trillion, eight hundred twenty-six billion, two hundred fifty-six million, six hundred forty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 67049 134098 201147 268196 402294 536392 603441 804588 1072784 1206882 1609176 1810323 2413764 3218352 3620646 4827528 5430969 7241292 9655056 10861938 14482584 21723876 28965168 43447752 86895504 4495568401 8991136802 13486705203 17982273604 26973410406 35964547208 40460115609 53946820812 71929094416 80920231218 107893641624 121380346827 161840462436 215787283248 242760693654 323680924872 364141040481 485521387308 647361849744 728282080962 971042774616 1456564161924 1942085549232 2913128323848 5826256647696