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26149940736 = 29317258909
BaseRepresentation
bin11000010110101010…
…000110111000000000
32111111102201121221120
4120112222012320000
5412023341100421
620002455552240
71614006554163
oct302652067000
974442647846
1026149940736
11100a9a61577
12509968b680
13260985161a
1413a0da5ada
15a30b208c6
hex616a86e00

26149940736 has 120 divisors (see below), whose sum is σ = 74005334040. Its totient is φ = 8203763712.

The previous prime is 26149940723. The next prime is 26149940743. The reversal of 26149940736 is 63704994162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 414450 + ... + 473358.

It is an arithmetic number, because the mean of its divisors is an integer number (616711117).

Almost surely, 226149940736 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 26149940736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37002667020).

26149940736 is an abundant number, since it is smaller than the sum of its proper divisors (47855393304).

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

26149940736 is an equidigital number, since it uses as much as digits as its factorization.

26149940736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58964 (or 58931 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 26149940736 in words is "twenty-six billion, one hundred forty-nine million, nine hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 289 384 408 512 544 578 768 816 867 1088 1156 1536 1632 1734 2176 2312 3264 3468 4352 4624 6528 6936 8704 9248 13056 13872 18496 26112 27744 36992 55488 58909 73984 110976 117818 147968 176727 221952 235636 353454 443904 471272 706908 942544 1001453 1413816 1885088 2002906 2827632 3004359 3770176 4005812 5655264 6008718 7540352 8011624 11310528 12017436 15080704 16023248 17024701 22621056 24034872 30161408 32046496 34049402 45242112 48069744 51074103 64092992 68098804 90484224 96139488 102148206 128185984 136197608 192278976 204296412 256371968 272395216 384557952 408592824 512743936 544790432 769115904 817185648 1089580864 1538231808 1634371296 2179161728 3268742592 4358323456 6537485184 8716646912 13074970368 26149940736