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55995006240 = 2533573353503
BaseRepresentation
bin110100001001100011…
…111111110100100000
312100112101111001011000
4310021203333310200
51404134210144430
641420155152000
74021415462025
oct641143776440
9170471431130
1055995006240
11218247a2a68
12aa28745600
135384aaa7b4
1429d29dd54c
1516cad42e60
hexd098ffd20

55995006240 has 384 divisors, whose sum is σ = 199626094080. Its totient is φ = 14656536576.

The previous prime is 55995006233. The next prime is 55995006241. The reversal of 55995006240 is 4260059955.

It is a happy number.

55995006240 is a `hidden beast` number, since 5 + 599 + 50 + 0 + 6 + 2 + 4 + 0 = 666.

55995006240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (55995006241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111321829 + ... + 111322331.

It is an arithmetic number, because the mean of its divisors is an integer number (519859620).

Almost surely, 255995006240 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 55995006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99813047040).

55995006240 is an abundant number, since it is smaller than the sum of its proper divisors (143631087840).

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

55995006240 is a wasteful number, since it uses less digits than its factorization.

55995006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 55995006240 in words is "fifty-five billion, nine hundred ninety-five million, six thousand, two hundred forty".