Search a number
-
+
21506680167 = 371024127627
BaseRepresentation
bin10100000001111001…
…011110010101100111
32001111211121112212220
4110001321132111213
5323021202231132
613514030443423
71360645523310
oct240171362547
961454545786
1021506680167
119136a62145
124202663573
13204989866b
141080447607
1585d184a2c
hex501e5e567

21506680167 has 8 divisors (see below), whose sum is σ = 32772084096. Its totient is φ = 12289531512.

The previous prime is 21506680141. The next prime is 21506680193. The reversal of 21506680167 is 76108660512.

It is an interprime number because it is at equal distance from previous prime (21506680141) and next prime (21506680193).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 21506680167 - 218 = 21506418023 is a prime.

It is a super-2 number, since 2×215066801672 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21506680067) 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, 512063793 + ... + 512063834.

It is an arithmetic number, because the mean of its divisors is an integer number (4096510512).

Almost surely, 221506680167 is an apocalyptic number.

21506680167 is a deficient number, since it is larger than the sum of its proper divisors (11265403929).

21506680167 is a wasteful number, since it uses less digits than its factorization.

21506680167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024127637.

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 21506680167 in words is "twenty-one billion, five hundred six million, six hundred eighty thousand, one hundred sixty-seven".

Divisors: 1 3 7 21 1024127627 3072382881 7168893389 21506680167