Search a number
-
+
54188447040 = 26335713413
BaseRepresentation
bin110010011101111000…
…100001010101000000
312011212111010022211000
4302131320201111000
51341434220301130
640521022252000
73625561125420
oct623570412500
9164774108730
1054188447040
1120a87a69332
12a603727000
135157732060
1428a0ada480
151622441260
hexc9de21540

54188447040 has 896 divisors, whose sum is σ = 241161661440. Its totient is φ = 11154309120.

The previous prime is 54188447021. The next prime is 54188447041. The reversal of 54188447040 is 4074488145.

54188447040 is a `hidden beast` number, since 54 + 18 + 84 + 470 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54188447041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1321669420 + ... + 1321669460.

It is an arithmetic number, because the mean of its divisors is an integer number (269153640).

Almost surely, 254188447040 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 54188447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120580830720).

54188447040 is an abundant number, since it is smaller than the sum of its proper divisors (186973214400).

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

54188447040 is an equidigital number, since it uses as much as digits as its factorization.

54188447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 54188447040 in words is "fifty-four billion, one hundred eighty-eight million, four hundred forty-seven thousand, forty".