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55005055050 = 235211158321059
BaseRepresentation
bin110011001110100011…
…101000100001001010
312020222101201022102010
4303032203220201022
51400122243230200
641134033120350
73655035152661
oct631643504112
9166871638363
1055005055050
1121366a12a90
12a7b10b90b6
13525797b46a
14293b349dd8
15166de99150
hexcce8e884a

55005055050 has 96 divisors (see below), whose sum is σ = 148914754560. Its totient is φ = 13325502400.

The previous prime is 55005055019. The next prime is 55005055099. The reversal of 55005055050 is 5055050055.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 55005054999 and 55005055017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2601421 + ... + 2622479.

It is an arithmetic number, because the mean of its divisors is an integer number (1551195360).

Almost surely, 255005055050 is an apocalyptic number.

55005055050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55005055050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74457377280).

55005055050 is an abundant number, since it is smaller than the sum of its proper divisors (93909699510).

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

55005055050 is a wasteful number, since it uses less digits than its factorization.

55005055050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22668 (or 22663 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 30.

The spelling of 55005055050 in words is "fifty-five billion, five million, fifty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1583 1650 3166 4749 7915 9498 15830 17413 21059 23745 34826 39575 42118 47490 52239 63177 79150 87065 104478 105295 118725 126354 174130 210590 231649 237450 261195 315885 435325 463298 522390 526475 631770 694947 870650 1052950 1158245 1305975 1389894 1579425 2316490 2611950 3158850 3474735 5791225 6949470 11582450 17373675 33336397 34747350 66672794 100009191 166681985 200018382 333363970 366700367 500045955 733400734 833409925 1000091910 1100101101 1666819850 1833501835 2200202202 2500229775 3667003670 5000459550 5500505505 9167509175 11001011010 18335018350 27502527525 55005055050