Search a number
-
+
21658145582412 = 22324657129185131
BaseRepresentation
bin1001110110010101011100…
…00100101110110101001100
32211200111110101220121200100
410323022232010232311030
510314321340232114122
6114021340440331100
74363515015642243
oct473125604566514
984614411817610
1021658145582412
1169a0193611169
1225195b1173a90
13c1147b702b31
1454c38cddb95a
152785a0eb5aac
hex13b2ae12ed4c

21658145582412 has 36 divisors (see below), whose sum is σ = 54758735381896. Its totient is φ = 7217831583360.

The previous prime is 21658145582393. The next prime is 21658145582417. The reversal of 21658145582412 is 21428554185612.

21658145582412 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 8 + 1 + 45 + 582 + 4 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (21658145582417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64424914 + ... + 64760217.

Almost surely, 221658145582412 is an apocalyptic number.

It is an amenable number.

21658145582412 is an abundant number, since it is smaller than the sum of its proper divisors (33100589799484).

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

21658145582412 is a wasteful number, since it uses less digits than its factorization.

21658145582412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129189798 (or 129189793 counting only the distinct ones).

The product of its digits is 6144000, while the sum is 54.

The spelling of 21658145582412 in words is "twenty-one trillion, six hundred fifty-eight billion, one hundred forty-five million, five hundred eighty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 4657 9314 13971 18628 27942 41913 55884 83826 167652 129185131 258370262 387555393 516740524 775110786 1162666179 1550221572 2325332358 4650664716 601615155067 1203230310134 1804845465201 2406460620268 3609690930402 5414536395603 7219381860804 10829072791206 21658145582412