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164231132461 = 1114930102951
BaseRepresentation
bin1001100011110011110…
…0000011010100101101
3120200220112211221120121
42120330330003110231
510142321132214321
6203240255044541
714602541410234
oct2307474032455
9520815757517
10164231132461
1163717213650
12279b4810751
1312643a25bb6
147d3d831b1b
15441316b441
hex263cf0352d

164231132461 has 4 divisors (see below), whose sum is σ = 179161235424. Its totient is φ = 149301029500.

The previous prime is 164231132459. The next prime is 164231132519.

164231132461 is nontrivially palindromic in base 10.

164231132461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 164231132461 - 21 = 164231132459 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164231132861) 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 3 ways as a sum of consecutive naturals, for example, 7465051465 + ... + 7465051486.

It is an arithmetic number, because the mean of its divisors is an integer number (44790308856).

Almost surely, 2164231132461 is an apocalyptic number.

164231132461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164231132461 is a deficient number, since it is larger than the sum of its proper divisors (14930102963).

164231132461 is a wasteful number, since it uses less digits than its factorization.

164231132461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14930102962.

The product of its digits is 20736, while the sum is 34.

It can be divided in two parts, 164231 and 132461, that added together give a palindrome (296692).

The spelling of 164231132461 in words is "one hundred sixty-four billion, two hundred thirty-one million, one hundred thirty-two thousand, four hundred sixty-one".

Divisors: 1 11 14930102951 164231132461