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21161136465 = 3357100922193
BaseRepresentation
bin10011101101010011…
…010101000101010001
32000121202102010001000
4103231103111011101
5321314222331330
613415444332213
71346251456260
oct235523250521
960552363030
1021161136465
118a79a01037
1241269a4069
131cc3112931
14104a5ba5d7
1583cb7b560
hex4ed4d5151

21161136465 has 64 divisors (see below), whose sum is σ = 43038604800. Its totient is φ = 9663639552.

The previous prime is 21161136463. The next prime is 21161136467. The reversal of 21161136465 is 56463116112.

21161136465 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 1 + 1 + 3 + 646 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (21161136463) and next prime (21161136467).

It is not a de Polignac number, because 21161136465 - 21 = 21161136463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21161136463) 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 63 ways as a sum of consecutive naturals, for example, 942409 + ... + 964601.

It is an arithmetic number, because the mean of its divisors is an integer number (672478200).

Almost surely, 221161136465 is an apocalyptic number.

It is an amenable number.

21161136465 is an abundant number, since it is smaller than the sum of its proper divisors (21877468335).

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

21161136465 is a wasteful number, since it uses less digits than its factorization.

21161136465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23223 (or 23217 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 21161136465 in words is "twenty-one billion, one hundred sixty-one million, one hundred thirty-six thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 1009 3027 5045 7063 9081 15135 21189 22193 27243 35315 45405 63567 66579 105945 110965 136215 155351 190701 199737 317835 332895 466053 599211 776755 953505 998685 1398159 2330265 2996055 4194477 6990795 20972385 22392737 67178211 111963685 156749159 201534633 335891055 470247477 604603899 783745795 1007673165 1410742431 2351237385 3023019495 4232227293 7053712155 21161136465