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642038670 = 233572133733
BaseRepresentation
bin100110010001001…
…011101110001110
31122202002221111000
4212101023232032
52303330214140
6143413041130
721624144600
oct4621135616
91582087430
10642038670
112aa461179
1215b0261a6
13a3027350
14613ab170
153b573a30
hex2644bb8e

642038670 has 192 divisors, whose sum is σ = 2145407040. Its totient is φ = 135426816.

The previous prime is 642038651. The next prime is 642038699. The reversal of 642038670 is 76830246.

642038670 is a `hidden beast` number, since 642 + 0 + 3 + 8 + 6 + 7 + 0 = 666.

642038670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170124 + ... + 173856.

It is an arithmetic number, because the mean of its divisors is an integer number (11173995).

Almost surely, 2642038670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642038670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072703520).

642038670 is an abundant number, since it is smaller than the sum of its proper divisors (1503368370).

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

642038670 is a wasteful number, since it uses less digits than its factorization.

642038670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 642038670 is about 25338.4819987307. The cubic root of 642038670 is about 862.6879439200.

The spelling of 642038670 in words is "six hundred forty-two million, thirty-eight thousand, six hundred seventy".