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26220400983396 = 22342844772
BaseRepresentation
bin1011111011000111010011…
…01011111011110101100100
310102211122102211100002010000
411331203221223323311210
511414043340122432041
6131433252543101300
75344234660002564
oct575435153736544
9112748384302100
1026220400983396
11839a011877444
122b358332a1830
13118275b4346b9
14669107792da4
153070bd318bb6
hex17d8e9afbd64

26220400983396 has 45 divisors (see below), whose sum is σ = 68545548461929. Its totient is φ = 8740102937616.

The previous prime is 26220400983383. The next prime is 26220400983397. The reversal of 26220400983396 is 69338900402262.

The square root of 26220400983396 is 5120586.

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

26220400983396 is a `hidden beast` number, since 2 + 6 + 220 + 400 + 9 + 8 + 3 + 3 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7828859960100 + 18391541023296 = 2798010^2 + 4288536^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26220400983397) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 92028310 + ... + 92312786.

Almost surely, 226220400983396 is an apocalyptic number.

26220400983396 is the 5120586-th square number.

It is an amenable number.

26220400983396 is an abundant number, since it is smaller than the sum of its proper divisors (42325147478533).

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

26220400983396 is an frugal number, since it uses more digits than its factorization.

26220400983396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568970 (or 284482 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 26220400983396 in words is "twenty-six trillion, two hundred twenty billion, four hundred million, nine hundred eighty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 284477 568954 853431 1137908 1706862 2560293 3413724 5120586 7680879 10241172 15361758 23042637 30723516 46085274 92170548 80927163529 161854327058 242781490587 323708654116 485562981174 728344471761 971125962348 1456688943522 2185033415283 2913377887044 4370066830566 6555100245849 8740133661132 13110200491698 26220400983396