Search a number
-
+
54634430700 = 223252592294493
BaseRepresentation
bin110010111000011101…
…110100000011101100
312020000120022122101100
4302320131310003230
51343342403240300
641033153243100
73642614666343
oct627035640354
9166016278340
1054634430700
1121196791473
12a708b63490
1351c8c53905
142904030b5a
15164b689700
hexcb87740ec

54634430700 has 216 divisors, whose sum is σ = 174950521200. Its totient is φ = 14256529920.

The previous prime is 54634430687. The next prime is 54634430717. The reversal of 54634430700 is 703443645.

It is a happy number.

54634430700 is a `hidden beast` number, since 5 + 4 + 6 + 344 + 307 + 0 + 0 = 666.

54634430700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12157654 + ... + 12162146.

Almost surely, 254634430700 is an apocalyptic number.

54634430700 is a gapful number since it is divisible by the number (50) 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 54634430700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87475260600).

54634430700 is an abundant number, since it is smaller than the sum of its proper divisors (120316090500).

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

54634430700 is a wasteful number, since it uses less digits than its factorization.

54634430700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 54634430700 in words is "fifty-four billion, six hundred thirty-four million, four hundred thirty thousand, seven hundred".