Search a number
-
+
54638229240 = 233657267677
BaseRepresentation
bin110010111000101100…
…010011011011111000
312020000211110122000000
4302320230103123320
51343344341313430
641033410513000
73642662166660
oct627054233370
9166024418000
1054638229240
1121198946361
12a70a295760
1351c998387a
14290473d1a0
15164bb89e60
hexcb8b136f8

54638229240 has 224 divisors, whose sum is σ = 210651878880. Its totient is φ = 12488691456.

The previous prime is 54638229227. The next prime is 54638229251. The reversal of 54638229240 is 4292283645.

54638229240 is a `hidden beast` number, since 5 + 4 + 6 + 382 + 29 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 70282 + ... + 337958.

Almost surely, 254638229240 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 54638229240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105325939440).

54638229240 is an abundant number, since it is smaller than the sum of its proper divisors (156013649640).

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

54638229240 is a wasteful number, since it uses less digits than its factorization.

54638229240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267713 (or 267694 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 54638229240 in words is "fifty-four billion, six hundred thirty-eight million, two hundred twenty-nine thousand, two hundred forty".