Search a number
-
+
54148050792 = 23321133491619
BaseRepresentation
bin110010011011011110…
…011010111101101000
312011202200002222120200
4302123132122331220
51341343400111132
640513020352200
73624560560203
oct623336327550
9164680088520
1054148050792
1120a67188000
12a5b20a5660
13514c25a054
1428995c293a
15161db11d7c
hexc9b79af68

54148050792 has 192 divisors, whose sum is σ = 161867160000. Its totient is φ = 16351378560.

The previous prime is 54148050757. The next prime is 54148050797. The reversal of 54148050792 is 29705084145.

54148050792 is a `hidden beast` number, since 54 + 1 + 4 + 8 + 0 + 507 + 92 = 666.

It is a super-2 number, since 2×541480507922 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54148050797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33444559 + ... + 33446177.

It is an arithmetic number, because the mean of its divisors is an integer number (843058125).

Almost surely, 254148050792 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 54148050792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80933580000).

54148050792 is an abundant number, since it is smaller than the sum of its proper divisors (107719109208).

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

54148050792 is a wasteful number, since it uses less digits than its factorization.

54148050792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 54148050792 in words is "fifty-four billion, one hundred forty-eight million, fifty thousand, seven hundred ninety-two".