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26540262632 = 231319109149827
BaseRepresentation
bin11000101101111011…
…000100010011101000
32112111122012000221002
4120231323010103220
5413323301401012
620105321534132
71626456336662
oct305573042350
975448160832
1026540262632
111028a317154
125188344348
13266c684a20
1413dab6b532
15a550217c2
hex62dec44e8

26540262632 has 128 divisors (see below), whose sum is σ = 57380400000. Its totient is φ = 11407205376.

The previous prime is 26540262569. The next prime is 26540262667. The reversal of 26540262632 is 23626204562.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32091803 + ... + 32092629.

It is an arithmetic number, because the mean of its divisors is an integer number (448284375).

Almost surely, 226540262632 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 26540262632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28690200000).

26540262632 is an abundant number, since it is smaller than the sum of its proper divisors (30840137368).

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

26540262632 is a wasteful number, since it uses less digits than its factorization.

26540262632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 26540262632 in words is "twenty-six billion, five hundred forty million, two hundred sixty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 109 149 152 218 247 298 436 494 596 827 872 988 1192 1417 1654 1937 1976 2071 2831 2834 3308 3874 4142 5662 5668 6616 7748 8284 10751 11324 11336 15496 15713 16241 16568 21502 22648 26923 31426 32482 36803 43004 53846 62852 64964 73606 86008 90143 107692 123223 125704 129928 147212 180286 204269 211133 215384 246446 294424 308579 360572 408538 422266 492892 617158 721144 817076 844532 985784 1171859 1234316 1601899 1634152 1689064 1712717 2341237 2343718 2468632 3203798 3425434 4011527 4682474 4687436 6407596 6850868 8023054 9364948 9374872 12815192 13431307 13701736 16046108 18729896 22265321 26862614 30436081 32092216 44530642 53725228 60872162 89061284 107450456 121744324 174606991 178122568 243488648 255194833 349213982 510389666 698427964 1020779332 1396855928 2041558664 3317532829 6635065658 13270131316 26540262632