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54893225041920 = 21336517108139
BaseRepresentation
bin11000111101100110100110…
…01011011110000000000000
321012100202000020100112000000
430132303103023132000000
524143332311102320140
6312425333252000000
714363622201131346
oct1436632313360000
9235322006315000
1054893225041920
11165440a4522241
1261a6812000000
1324825414b6175
14d7abbc233996
15652d73481a30
hex31ecd32de000

54893225041920 has 784 divisors, whose sum is σ = 209133552095280. Its totient is φ = 13776995745792.

The previous prime is 54893225041913. The next prime is 54893225041979. The reversal of 54893225041920 is 2914052239845.

54893225041920 is a `hidden beast` number, since 5 + 4 + 8 + 93 + 22 + 504 + 1 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 507563211 + ... + 507671349.

Almost surely, 254893225041920 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 54893225041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104566776047640).

54893225041920 is an abundant number, since it is smaller than the sum of its proper divisors (154240327053360).

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

54893225041920 is an equidigital number, since it uses as much as digits as its factorization.

54893225041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108205 (or 108166 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 54893225041920 in words is "fifty-four trillion, eight hundred ninety-three billion, two hundred twenty-five million, forty-one thousand, nine hundred twenty".