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55616116160 = 2651118187293
BaseRepresentation
bin110011110010111110…
…101001010111000000
312022112222112102200002
4303302332221113000
51402400211204120
641314422215132
74006135121153
oct636276512700
9168488472602
1055616116160
112164a936270
12a9418844a8
13532444a897
142998571c9a
1516a794e375
hexcf2fa95c0

55616116160 has 112 divisors (see below), whose sum is σ = 145275373152. Its totient is φ = 20112076800.

The previous prime is 55616116123. The next prime is 55616116189. The reversal of 55616116160 is 6161161655.

It is a super-2 number, since 2×556161161602 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593474 + ... + 680766.

It is an arithmetic number, because the mean of its divisors is an integer number (1297101546).

Almost surely, 255616116160 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 55616116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72637686576).

55616116160 is an abundant number, since it is smaller than the sum of its proper divisors (89659256992).

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

55616116160 is a wasteful number, since it uses less digits than its factorization.

55616116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87502 (or 87492 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

It can be divided in two parts, 5 and 5616116160, that added together give a palindrome (5616116165).

The spelling of 55616116160 in words is "fifty-five billion, six hundred sixteen million, one hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 181 220 320 352 362 440 704 724 880 905 1448 1760 1810 1991 2896 3520 3620 3982 5792 7240 7964 9955 11584 14480 15928 19910 28960 31856 39820 57920 63712 79640 87293 127424 159280 174586 318560 349172 436465 637120 698344 872930 960223 1396688 1745860 1920446 2793376 3491720 3840892 4801115 5586752 6983440 7681784 9602230 13966880 15363568 15800033 19204460 27933760 30727136 31600066 38408920 61454272 63200132 76817840 79000165 126400264 153635680 158000330 173800363 252800528 307271360 316000660 347600726 505601056 632001320 695201452 869001815 1011202112 1264002640 1390402904 1738003630 2528005280 2780805808 3476007260 5056010560 5561611616 6952014520 11123223232 13904029040 27808058080 55616116160