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26853883904 = 2144347811
BaseRepresentation
bin11001000000100111…
…011100000000000000
32120022111022122102202
4121000213130000000
5414444043241104
620200403532332
71640315150501
oct310047340000
976274278382
1026853883904
1110430354491
12525538a0a8
1326bc641743
14142a688ba8
15a7282151e
hex6409dc000

26853883904 has 120 divisors (see below), whose sum is σ = 56193570048. Its totient is φ = 12819824640.

The previous prime is 26853883897. The next prime is 26853883919. The reversal of 26853883904 is 40938835862.

It is a super-2 number, since 2×268538839042 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26853883904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33111659 + ... + 33112469.

Almost surely, 226853883904 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 26853883904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28096785024).

26853883904 is an abundant number, since it is smaller than the sum of its proper divisors (29339686144).

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

26853883904 is an frugal number, since it uses more digits than its factorization.

26853883904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 56.

The spelling of 26853883904 in words is "twenty-six billion, eight hundred fifty-three million, eight hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 43 47 64 86 94 128 172 188 256 344 376 512 688 752 811 1024 1376 1504 1622 2021 2048 2752 3008 3244 4042 4096 5504 6016 6488 8084 8192 11008 12032 12976 16168 16384 22016 24064 25952 32336 34873 38117 44032 48128 51904 64672 69746 76234 88064 96256 103808 129344 139492 152468 176128 192512 207616 258688 278984 304936 352256 385024 415232 517376 557968 609872 704512 770048 830464 1034752 1115936 1219744 1639031 1660928 2069504 2231872 2439488 3278062 3321856 4139008 4463744 4878976 6556124 6643712 8278016 8927488 9757952 13112248 13287424 16556032 17854976 19515904 26224496 33112064 35709952 39031808 52448992 71419904 78063616 104897984 142839808 156127232 209795968 285679616 312254464 419591936 571359232 624508928 839183872 1678367744 3356735488 6713470976 13426941952 26853883904