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26054536104 = 23324710176231
BaseRepresentation
bin11000010000111110…
…001010101110101000
32111020210012120101200
4120100332022232220
5411324430123404
615545211044200
71611440621442
oct302076125650
974223176350
1026054536104
1110060119673
125071740660
1325c2b5968c
14139244d492
15a27577839
hex610f8aba8

26054536104 has 96 divisors (see below), whose sum is σ = 72780215040. Its totient is φ = 8415792000.

The previous prime is 26054536093. The next prime is 26054536111. The reversal of 26054536104 is 40163545062.

26054536104 is a `hidden beast` number, since 2 + 6 + 0 + 545 + 3 + 6 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303669 + ... + 379899.

It is an arithmetic number, because the mean of its divisors is an integer number (758127240).

Almost surely, 226054536104 is an apocalyptic number.

26054536104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26054536104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36390107520).

26054536104 is an abundant number, since it is smaller than the sum of its proper divisors (46725678936).

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

26054536104 is a wasteful number, since it uses less digits than its factorization.

26054536104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76391 (or 76384 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 26054536104 in words is "twenty-six billion, fifty-four million, five hundred thirty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 101 141 188 202 282 303 376 404 423 564 606 808 846 909 1128 1212 1692 1818 2424 3384 3636 4747 7272 9494 14241 18988 28482 37976 42723 56964 76231 85446 113928 152462 170892 228693 304924 341784 457386 609848 686079 914772 1372158 1829544 2744316 3582857 5488632 7165714 7699331 10748571 14331428 15398662 21497142 23097993 28662856 30797324 32245713 42994284 46195986 61594648 64491426 69293979 85988568 92391972 128982852 138587958 184783944 257965704 277175916 361868557 554351832 723737114 1085605671 1447474228 2171211342 2894948456 3256817013 4342422684 6513634026 8684845368 13027268052 26054536104