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55011110040 = 2333589631907
BaseRepresentation
bin110011001110111010…
…101110110010011000
312020222211002221022000
4303032322232302120
51400130321010130
641134411001000
73655140502005
oct631672566230
9166884087260
1055011110040
112136a379207
12a7b3139160
135258cbb4b3
14293c0848ac
15166e793260
hexcceeaec98

55011110040 has 256 divisors, whose sum is σ = 185929344000. Its totient is φ = 14465848320.

The previous prime is 55011109991. The next prime is 55011110051. The reversal of 55011110040 is 4001111055.

It is a happy number.

55011110040 is a `hidden beast` number, since 550 + 1 + 1 + 110 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 55011109995 and 55011110022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60651267 + ... + 60652173.

It is an arithmetic number, because the mean of its divisors is an integer number (726286500).

Almost surely, 255011110040 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 55011110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92964672000).

55011110040 is an abundant number, since it is smaller than the sum of its proper divisors (130918233960).

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

55011110040 is a wasteful number, since it uses less digits than its factorization.

55011110040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 55011110040 its reverse (4001111055), we get a palindrome (59012221095).

The spelling of 55011110040 in words is "fifty-five billion, eleven million, one hundred ten thousand, forty".