Search a number
-
+
64006304200 = 23521092936069
BaseRepresentation
bin111011100111000100…
…101011000111001000
320010012201011010221021
4323213010223013020
52022041103213300
645223141122224
74424064415606
oct734704530710
9203181133837
1064006304200
1125165987773
12104a36b9374
1360607781a7
1431529a8876
1519e9320d1a
hexee712b1c8

64006304200 has 48 divisors (see below), whose sum is σ = 150179980500. Its totient is φ = 25367627520.

The previous prime is 64006304183. The next prime is 64006304209. The reversal of 64006304200 is 240360046.

64006304200 is digitally balanced in base 2, 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 6 ways, for example, as 18959637636 + 45046666564 = 137694^2 + 212242^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (64006304209) 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, 1446235 + ... + 1489834.

Almost surely, 264006304200 is an apocalyptic number.

It is an amenable number.

64006304200 is an abundant number, since it is smaller than the sum of its proper divisors (86173676300).

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

64006304200 is a wasteful number, since it uses less digits than its factorization.

64006304200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936194 (or 2936185 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 64006304200 its reverse (240360046), we get a palindrome (64246664246).

The spelling of 64006304200 in words is "sixty-four billion, six million, three hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 10900 21800 2936069 5872138 11744276 14680345 23488552 29360690 58721380 73401725 117442760 146803450 293606900 320031521 587213800 640063042 1280126084 1600157605 2560252168 3200315210 6400630420 8000788025 12801260840 16001576050 32003152100 64006304200