Search a number
-
+
21377875086 = 23264710331777
BaseRepresentation
bin10011111010001110…
…000111110010001110
32001011212020120112100
4103322032013302032
5322240214000321
613453150015530
71354522640301
oct237216076216
961155216470
1021377875086
119080286a67
1241874a75a6
132028caaa39
14106b2b8b38
15851be0326
hex4fa387c8e

21377875086 has 48 divisors (see below), whose sum is σ = 46461358944. Its totient is φ = 7104056832.

The previous prime is 21377875039. The next prime is 21377875087. The reversal of 21377875086 is 68057877312.

21377875086 is a `hidden beast` number, since 21 + 37 + 7 + 87 + 508 + 6 = 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 Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21377875087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12029430 + ... + 12031206.

It is an arithmetic number, because the mean of its divisors is an integer number (967944978).

Almost surely, 221377875086 is an apocalyptic number.

21377875086 is an abundant number, since it is smaller than the sum of its proper divisors (25083483858).

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

21377875086 is a wasteful number, since it uses less digits than its factorization.

21377875086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 21377875086 in words is "twenty-one billion, three hundred seventy-seven million, eight hundred seventy-five thousand, eighty-six".

Divisors: 1 2 3 6 9 18 647 1033 1294 1777 1941 2066 3099 3554 3882 5331 5823 6198 9297 10662 11646 15993 18594 31986 668351 1149719 1336702 1835641 2005053 2299438 3449157 3671282 4010106 5506923 6015159 6898314 10347471 11013846 12030318 16520769 20694942 33041538 1187659727 2375319454 3562979181 7125958362 10688937543 21377875086