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55000560120 = 233511151275941
BaseRepresentation
bin110011001110010010…
…011111000111111000
312020222002020221112020
4303032102133013320
51400120120410440
641133352514440
73654652022142
oct631622370770
9166862227466
1055000560120
1121364422970
12a7ab6aba20
135256a6653c
14293a8d9c92
15166d8ac3d0
hexcce49f1f8

55000560120 has 128 divisors (see below), whose sum is σ = 181194554880. Its totient is φ = 13245120000.

The previous prime is 55000560119. The next prime is 55000560187. The reversal of 55000560120 is 2106500055.

It is a super-2 number, since 2×550005601202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61350 + ... + 337290.

It is an arithmetic number, because the mean of its divisors is an integer number (1415582460).

Almost surely, 255000560120 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 55000560120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90597277440).

55000560120 is an abundant number, since it is smaller than the sum of its proper divisors (126193994760).

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

55000560120 is a wasteful number, since it uses less digits than its factorization.

55000560120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276117 (or 276113 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The spelling of 55000560120 in words is "fifty-five billion, five hundred sixty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 151 165 220 264 302 330 440 453 604 660 755 906 1208 1320 1510 1661 1812 2265 3020 3322 3624 4530 4983 6040 6644 8305 9060 9966 13288 16610 18120 19932 24915 33220 39864 49830 66440 99660 199320 275941 551882 827823 1103764 1379705 1655646 2207528 2759410 3035351 3311292 4139115 5518820 6070702 6622584 8278230 9106053 11037640 12141404 15176755 16556460 18212106 24282808 30353510 33112920 36424212 41667091 45530265 60707020 72848424 83334182 91060530 121414040 125001273 166668364 182121060 208335455 250002546 333336728 364242120 416670910 458338001 500005092 625006365 833341820 916676002 1000010184 1250012730 1375014003 1666683640 1833352004 2291690005 2500025460 2750028006 3666704008 4583380010 5000050920 5500056012 6875070015 9166760020 11000112024 13750140030 18333520040 27500280060 55000560120