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26328432864 = 2531631682543
BaseRepresentation
bin11000100001010011…
…000000000011100000
32111221212120222010010
4120201103000003200
5412410034322424
620032313404520
71621304662326
oct304123000340
974855528103
1026328432864
1110190794328
125129409740
132637818076
1413ba989d16
15a4162c229
hex6214c00e0

26328432864 has 48 divisors (see below), whose sum is σ = 69536178432. Its totient is φ = 8722297728.

The previous prime is 26328432863. The next prime is 26328432883. The reversal of 26328432864 is 46823482362.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26328432863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825624 + ... + 856919.

It is an arithmetic number, because the mean of its divisors is an integer number (1448670384).

Almost surely, 226328432864 is an apocalyptic number.

26328432864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26328432864 is an abundant number, since it is smaller than the sum of its proper divisors (43207745568).

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

26328432864 is a wasteful number, since it uses less digits than its factorization.

26328432864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682719 (or 1682711 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 26328432864 in words is "twenty-six billion, three hundred twenty-eight million, four hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2608 3912 5216 7824 15648 1682543 3365086 5047629 6730172 10095258 13460344 20190516 26920688 40381032 53841376 80762064 161524128 274254509 548509018 822763527 1097018036 1645527054 2194036072 3291054108 4388072144 6582108216 8776144288 13164216432 26328432864