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54674780160 = 21235721113127
BaseRepresentation
bin110010111010110111…
…101111000000000000
312020010101020121102210
4302322313233000000
51343433220431120
641041154142120
73643614651300
oct627267570000
9166111217383
1054674780160
1121207540630
12a71a581940
135204410530
142909535600
15164eea9ce0
hexcbadef000

54674780160 has 1248 divisors, whose sum is σ = 240958513152. Its totient is φ = 10404495360.

The previous prime is 54674780159. The next prime is 54674780179. The reversal of 54674780160 is 6108747645.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 430510017 + ... + 430510143.

Almost surely, 254674780160 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 54674780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120479256576).

54674780160 is an abundant number, since it is smaller than the sum of its proper divisors (186283732992).

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

54674780160 is a wasteful number, since it uses less digits than its factorization.

54674780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 54674780160 in words is "fifty-four billion, six hundred seventy-four million, seven hundred eighty thousand, one hundred sixty".