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1642723664 = 242312735149
BaseRepresentation
bin110000111101001…
…1111100101010000
311020111002000020012
41201322133211100
511331014124124
6431001134052
755464630551
oct14172374520
94214060205
101642723664
1177330266a
1239a18a328
1320244424a
14118256328
159933ce0e
hex61e9f950

1642723664 has 40 divisors (see below), whose sum is σ = 3347404800. Its totient is φ = 779442048.

The previous prime is 1642723657. The next prime is 1642723673. The reversal of 1642723664 is 4663272461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29162 + ... + 64310.

It is an arithmetic number, because the mean of its divisors is an integer number (83685120).

Almost surely, 21642723664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1642723664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673702400).

1642723664 is an abundant number, since it is smaller than the sum of its proper divisors (1704681136).

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

1642723664 is a wasteful number, since it uses less digits than its factorization.

1642723664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35307 (or 35301 counting only the distinct ones).

The product of its digits is 290304, while the sum is 41.

The square root of 1642723664 is about 40530.5275563988. The cubic root of 1642723664 is about 1179.9261813440.

The spelling of 1642723664 in words is "one billion, six hundred forty-two million, seven hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 46 92 127 184 254 368 508 1016 2032 2921 5842 11684 23368 35149 46736 70298 140596 281192 562384 808427 1616854 3233708 4463923 6467416 8927846 12934832 17855692 35711384 71422768 102670229 205340458 410680916 821361832 1642723664