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21929815368 = 2333947107209
BaseRepresentation
bin10100011011000111…
…100110110101001000
32002121022211001021000
4110123013212311020
5324403013042433
614024024015000
71404304232526
oct243307466510
962538731230
1021929815368
11933389995a
124300301460
1320b644a416
1410c0711316
158853b8113
hex51b1e6d48

21929815368 has 64 divisors (see below), whose sum is σ = 60981048000. Its totient is φ = 7302151296.

The previous prime is 21929815367. The next prime is 21929815379. The reversal of 21929815368 is 86351892912.

21929815368 is a `hidden beast` number, since 2 + 1 + 9 + 29 + 81 + 536 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (21929815367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 150948 + ... + 258156.

It is an arithmetic number, because the mean of its divisors is an integer number (952828875).

Almost surely, 221929815368 is an apocalyptic number.

It is an amenable number.

21929815368 is an abundant number, since it is smaller than the sum of its proper divisors (39051232632).

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

21929815368 is a wasteful number, since it uses less digits than its factorization.

21929815368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108171 (or 108161 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 21929815368 in words is "twenty-one billion, nine hundred twenty-nine million, eight hundred fifteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 947 1894 2841 3788 5682 7576 8523 11364 17046 22728 25569 34092 51138 68184 102276 107209 204552 214418 321627 428836 643254 857672 964881 1286508 1929762 2573016 2894643 3859524 5789286 7719048 11578572 23157144 101526923 203053846 304580769 406107692 609161538 812215384 913742307 1218323076 1827484614 2436646152 2741226921 3654969228 5482453842 7309938456 10964907684 21929815368