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26493421824 = 283233912
BaseRepresentation
bin11000101011001000…
…011000100100000000
32112101101001021102100
4120223020120210000
5413224303444244
620100525550400
71625350240602
oct305310304400
975341037370
1026493421824
1110265933a41
125174715400
132662a6457c
1413d4857172
15a50d6cb69
hex62b218900

26493421824 has 81 divisors (see below), whose sum is σ = 76409599539. Its totient is φ = 8828536320.

The previous prime is 26493421819. The next prime is 26493421847. The reversal of 26493421824 is 42812439462.

The square root of 26493421824 is 162768.

It is a perfect power (a square), and thus also a powerful number.

26493421824 is a `hidden beast` number, since 2 + 64 + 93 + 421 + 82 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 26493421824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7811169 + ... + 7814559.

Almost surely, 226493421824 is an apocalyptic number.

26493421824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

26493421824 is the 162768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26493421824

26493421824 is an abundant number, since it is smaller than the sum of its proper divisors (49916177715).

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

26493421824 is an frugal number, since it uses more digits than its factorization.

26493421824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6804 (or 3396 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 26493421824 in words is "twenty-six billion, four hundred ninety-three million, four hundred twenty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3391 6782 10173 13564 20346 27128 30519 40692 54256 61038 81384 108512 122076 162768 217024 244152 325536 434048 488304 651072 868096 976608 1302144 1953216 2604288 3906432 7812864 11498881 22997762 34496643 45995524 68993286 91991048 103489929 137986572 183982096 206979858 275973144 367964192 413959716 551946288 735928384 827919432 1103892576 1471856768 1655838864 2207785152 2943713536 3311677728 4415570304 6623355456 8831140608 13246710912 26493421824