Search a number
-
+
55611550120 = 23571492415531
BaseRepresentation
bin110011110010101101…
…001110100110101000
312022112122221110020111
4303302231032212220
51402343024100440
641314140304104
74006051243120
oct636255164650
9168478843214
1055611550120
11216482a7785
12a940242034
13532350c499
142997b03c80
1516a734b4ea
hexcf2b4e9a8

55611550120 has 128 divisors (see below), whose sum is σ = 144584352000. Its totient is φ = 18856857600.

The previous prime is 55611550117. The next prime is 55611550121. The reversal of 55611550120 is 2105511655.

It is not an unprimeable number, because it can be changed into a prime (55611550121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10051755 + ... + 10057285.

It is an arithmetic number, because the mean of its divisors is an integer number (1129565250).

Almost surely, 255611550120 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 55611550120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72292176000).

55611550120 is an abundant number, since it is smaller than the sum of its proper divisors (88972801880).

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

55611550120 is a wasteful number, since it uses less digits than its factorization.

55611550120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5939 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 31.

The spelling of 55611550120 in words is "fifty-five billion, six hundred eleven million, five hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 149 241 280 298 482 596 745 964 1043 1192 1205 1490 1687 1928 2086 2410 2980 3374 4172 4820 5215 5531 5960 6748 8344 8435 9640 10430 11062 13496 16870 20860 22124 27655 33740 35909 38717 41720 44248 55310 67480 71818 77434 110620 143636 154868 179545 193585 221240 251363 287272 309736 359090 387170 502726 718180 774340 824119 1005452 1256815 1332971 1436360 1548680 1648238 2010904 2513630 2665942 3296476 4120595 5027260 5331884 5768833 6592952 6664855 8241190 9330797 10054520 10663768 11537666 13329710 16482380 18661594 23075332 26659420 28844165 32964760 37323188 46150664 46653985 53318840 57688330 74646376 93307970 115376660 186615940 198612679 230753320 373231880 397225358 794450716 993063395 1390288753 1588901432 1986126790 2780577506 3972253580 5561155012 6951443765 7944507160 11122310024 13902887530 27805775060 55611550120