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164442560634 = 232111748853999
BaseRepresentation
bin1001100100100110001…
…0100101100001111010
3120201110021200121111200
42121021202211201322
510143234243420014
6203313250435030
714611016463012
oct2311142454172
9521407617450
10164442560634
11638155a1780
1227a53592a76
1312678781b21
147d5d94ac42
1544269d1a09
hex26498a587a

164442560634 has 48 divisors (see below), whose sum is σ = 411546096000. Its totient is φ = 46899838080.

The previous prime is 164442560591. The next prime is 164442560687. The reversal of 164442560634 is 436065244461.

164442560634 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 4 + 2 + 5 + 6 + 0 + 634 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 164442560634.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24423634 + ... + 24430365.

It is an arithmetic number, because the mean of its divisors is an integer number (8573877000).

Almost surely, 2164442560634 is an apocalyptic number.

164442560634 is an abundant number, since it is smaller than the sum of its proper divisors (247103535366).

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

164442560634 is a wasteful number, since it uses less digits than its factorization.

164442560634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48854035 (or 48854032 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 164442560634 in words is "one hundred sixty-four billion, four hundred forty-two million, five hundred sixty thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 48853999 97707998 146561997 293123994 439685991 537393989 830517983 879371982 1074787978 1612181967 1661035966 2491553949 3224363934 4836545901 4983107898 7474661847 9135697813 9673091802 14949323694 18271395626 27407093439 54814186878 82221280317 164442560634