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55633124508 = 223137314993259
BaseRepresentation
bin110011110011111111…
…100001110010011100
312022121011112112201220
4303303333201302130
51402414034441013
641320230533340
74006432520163
oct636377416234
9168534475656
1055633124508
11216594a2955
12a947507250
135327b243b0
14299a91c3da
1516a91adb23
hexcf3fe1c9c

55633124508 has 96 divisors (see below), whose sum is σ = 141849120000. Its totient is φ = 16866952704.

The previous prime is 55633124507. The next prime is 55633124531. The reversal of 55633124508 is 80542133655.

It is a self number, because there is not a number n which added to its sum of digits gives 55633124508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55633124507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17068983 + ... + 17072241.

It is an arithmetic number, because the mean of its divisors is an integer number (1477595000).

Almost surely, 255633124508 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 55633124508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70924560000).

55633124508 is an abundant number, since it is smaller than the sum of its proper divisors (86215995492).

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

55633124508 is a wasteful number, since it uses less digits than its factorization.

55633124508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4851 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 55633124508 in words is "fifty-five billion, six hundred thirty-three million, one hundred twenty-four thousand, five hundred eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 292 438 876 949 1499 1898 2847 2998 3259 3796 4497 5694 5996 6518 8994 9777 11388 13036 17988 19487 19554 38974 39108 42367 58461 77948 84734 109427 116922 127101 169468 218854 233844 237907 254202 328281 437708 475814 508404 656562 713721 951628 1313124 1422551 1427442 2845102 2854884 3092791 4267653 4885241 5690204 6185582 8535306 9278373 9770482 12371164 14655723 17070612 18556746 19540964 29311446 37113492 58622892 63508133 127016266 190524399 254032532 356622593 381048798 713245186 762097596 1069867779 1426490372 2139735558 4279471116 4636093709 9272187418 13908281127 18544374836 27816562254 55633124508