Search a number
-
+
64494152100 = 22345274127743
BaseRepresentation
bin111100000100001001…
…101010100110100100
320011110201010101110000
4330010021222212210
52024041000331400
645343405301300
74442140150650
oct740411524644
9204421111400
1064494152100
11253962a4054
12105bab64830
13610a866ca1
14319b6b9a60
151a27088600
hexf0426a9a4

64494152100 has 360 divisors, whose sum is σ = 244767333888. Its totient is φ = 14381452800.

The previous prime is 64494152081. The next prime is 64494152131. The reversal of 64494152100 is 125149446.

64494152100 is a `hidden beast` number, since 6 + 4 + 494 + 152 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2310829 + ... + 2338571.

Almost surely, 264494152100 is an apocalyptic number.

64494152100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64494152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122383666944).

64494152100 is an abundant number, since it is smaller than the sum of its proper divisors (180273181788).

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

64494152100 is a wasteful number, since it uses less digits than its factorization.

64494152100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27817 (or 27801 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 64494152100 in words is "sixty-four billion, four hundred ninety-four million, one hundred fifty-two thousand, one hundred".