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55265034240 = 21533513312
BaseRepresentation
bin110011011110000011…
…011000000000000000
312021122111220121211000
4303132003120000000
51401140322043430
641215521252000
73664343016543
oct633603300000
9167574817730
1055265034240
112148a742219
12a864194000
1352997a60c0
142963aa285a
151686beee60
hexcde0d8000

55265034240 has 768 divisors, whose sum is σ = 218656216800. Its totient is φ = 13164871680.

The previous prime is 55265034233. The next prime is 55265034241. The reversal of 55265034240 is 4243056255.

55265034240 is a `hidden beast` number, since 5 + 526 + 50 + 3 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 = 55265034195 and 55265034204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55265034241) 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, 1782743025 + ... + 1782743055.

Almost surely, 255265034240 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 55265034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109328108400).

55265034240 is an abundant number, since it is smaller than the sum of its proper divisors (163391182560).

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

55265034240 is an equidigital number, since it uses as much as digits as its factorization.

55265034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 55265034240 in words is "fifty-five billion, two hundred sixty-five million, thirty-four thousand, two hundred forty".