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26493493661020 = 2252341234262077
BaseRepresentation
bin1100000011000011111110…
…10001110100110101011100
310110210202100010101111121201
412001201333101310311130
511433032133334123040
6132202535403005244
75403043320316231
oct601417721646534
9113722303344551
1026493493661020
118494911540131
122b7a749509824
1311a2430831379
146784130d9788
1530e25364ca9a
hex18187f474d5c

26493493661020 has 72 divisors (see below), whose sum is σ = 59505828877152. Its totient is φ = 9889405616640.

The previous prime is 26493493661017. The next prime is 26493493661021. The reversal of 26493493661020 is 2016639439462.

It is a happy number.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26493493661021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16357779 + ... + 17904298.

It is an arithmetic number, because the mean of its divisors is an integer number (826469845516).

Almost surely, 226493493661020 is an apocalyptic number.

26493493661020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26493493661020 is an abundant number, since it is smaller than the sum of its proper divisors (33012335216132).

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

26493493661020 is a wasteful number, since it uses less digits than its factorization.

26493493661020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34262191 (or 34262148 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 55.

The spelling of 26493493661020 in words is "twenty-six trillion, four hundred ninety-three billion, four hundred ninety-three million, six hundred sixty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1681 1886 3362 3772 4715 6724 8405 9430 16810 18860 33620 38663 77326 154652 193315 386630 773260 34262077 68524154 137048308 171310385 342620770 685241540 788027771 1404745157 1576055542 2809490314 3152111084 3940138855 5618980628 7023725785 7880277710 14047451570 15760555420 28094903140 32309138611 57594551437 64618277222 115189102874 129236554444 161545693055 230378205748 287972757185 323091386110 575945514370 646182772220 1151891028740 1324674683051 2649349366102 5298698732204 6623373415255 13246746830510 26493493661020