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55005006096 = 24331163109481
BaseRepresentation
bin110011001110100011…
…011100100100010000
312020222101121211021000
4303032203130210100
51400122240143341
641134032102000
73655034560155
oct631643344420
9166871554230
1055005006096
112136698a227
12a7b1094900
1352579620b1
14293b33622c
15166de898b6
hexcce8dc910

55005006096 has 80 divisors (see below), whose sum is σ = 158021939520. Its totient is φ = 18319069440.

The previous prime is 55005006083. The next prime is 55005006109. The reversal of 55005006096 is 69060050055.

55005006096 is a `hidden beast` number, since 5 + 5 + 0 + 0 + 500 + 60 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (55005006083) and next prime (55005006109).

It is a super-2 number, since 2×550050060962 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55005006096.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447676 + ... + 557156.

It is an arithmetic number, because the mean of its divisors is an integer number (1975274244).

Almost surely, 255005006096 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 55005006096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79010969760).

55005006096 is an abundant number, since it is smaller than the sum of its proper divisors (103016933424).

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

55005006096 is a wasteful number, since it uses less digits than its factorization.

55005006096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110661 (or 110649 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 55005006096 in words is "fifty-five billion, five million, six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1163 2326 3489 4652 6978 9304 10467 13956 18608 20934 27912 31401 41868 55824 62802 83736 109481 125604 167472 218962 251208 328443 437924 502416 656886 875848 985329 1313772 1751696 1970658 2627544 2955987 3941316 5255088 5911974 7882632 11823948 15765264 23647896 47295792 127326403 254652806 381979209 509305612 763958418 1018611224 1145937627 1527916836 2037222448 2291875254 3055833672 3437812881 4583750508 6111667344 6875625762 9167501016 13751251524 18335002032 27502503048 55005006096