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1639834164 = 223246198809
BaseRepresentation
bin110000110111101…
…1110001000110100
311020021122012120200
41201233132020310
511324244143124
6430415200500
755431234423
oct14157361064
94207565520
101639834164
11771709751
12399216130
13201971c97
14117b032ba
1598e6bbc9
hex61bde234

1639834164 has 36 divisors (see below), whose sum is σ = 4154170020. Its totient is φ = 545420160.

The previous prime is 1639834103. The next prime is 1639834169. The reversal of 1639834164 is 4614389361.

1639834164 is a `hidden beast` number, since 1 + 639 + 8 + 3 + 4 + 1 + 6 + 4 = 666.

1639834164 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 230432400 + 1409401764 = 15180^2 + 37542^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1639834169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32809 + ... + 66000.

Almost surely, 21639834164 is an apocalyptic number.

It is an amenable number.

1639834164 is an abundant number, since it is smaller than the sum of its proper divisors (2514335856).

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

1639834164 is a wasteful number, since it uses less digits than its factorization.

1639834164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99280 (or 99275 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 1639834164 is about 40494.8658968023. The cubic root of 1639834164 is about 1179.2339574602.

The spelling of 1639834164 in words is "one billion, six hundred thirty-nine million, eight hundred thirty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 461 922 1383 1844 2766 4149 5532 8298 16596 98809 197618 296427 395236 592854 889281 1185708 1778562 3557124 45550949 91101898 136652847 182203796 273305694 409958541 546611388 819917082 1639834164