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55204107840 = 26325719167863
BaseRepresentation
bin110011011010011010…
…111101011001000000
312021111021021020111200
4303122122331121000
51401024222422330
641205503341200
73663003113550
oct633232753100
9167437236450
1055204107840
1121459309322
12a8478b1800
135289c9358b
142959963160
1516816b7a60
hexcda6bd640

55204107840 has 672 divisors, whose sum is σ = 230060113920. Its totient is φ = 11868622848.

The previous prime is 55204107809. The next prime is 55204107853. The reversal of 55204107840 is 4870140255.

55204107840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55204107795 and 55204107804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63967249 + ... + 63968111.

It is an arithmetic number, because the mean of its divisors is an integer number (342351360).

Almost surely, 255204107840 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 55204107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115030056960).

55204107840 is an abundant number, since it is smaller than the sum of its proper divisors (174856006080).

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

55204107840 is a wasteful number, since it uses less digits than its factorization.

55204107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 55204107840 in words is "fifty-five billion, two hundred four million, one hundred seven thousand, eight hundred forty".