Search a number
-
+
55117125270360 = 23325700121868751
BaseRepresentation
bin11001000100000111101001…
…01011000011101101011000
321020011010221020010121100100
430202003310223003231120
524211014333032122420
6313120242514535400
714416036513514556
oct1442036453035530
9236133836117310
1055117125270360
111662005035084a
126222099897560
13249a6a423ab3a
14d8797c5bcbd6
15658ac9c8a190
hex3220f4ac3b58

55117125270360 has 96 divisors (see below), whose sum is σ = 179156251759680. Its totient is φ = 14695800000000.

The previous prime is 55117125270359. The next prime is 55117125270367. The reversal of 55117125270360 is 6307252171155.

55117125270360 is a `hidden beast` number, since 5 + 5 + 1 + 1 + 7 + 12 + 5 + 270 + 360 = 666.

55117125270360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55117125270367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8414016 + ... + 13454735.

It is an arithmetic number, because the mean of its divisors is an integer number (1866210955830).

Almost surely, 255117125270360 is an apocalyptic number.

It is an amenable number.

55117125270360 is an abundant number, since it is smaller than the sum of its proper divisors (124039126489320).

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

55117125270360 is a wasteful number, since it uses less digits than its factorization.

55117125270360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21875769 (or 21875762 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 55117125270360 in words is "fifty-five trillion, one hundred seventeen billion, one hundred twenty-five million, two hundred seventy thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 7001 14002 21003 28004 35005 42006 56008 63009 70010 84012 105015 126018 140020 168024 210030 252036 280040 315045 420060 504072 630090 840120 1260180 2520360 21868751 43737502 65606253 87475004 109343755 131212506 174950008 196818759 218687510 262425012 328031265 393637518 437375020 524850024 656062530 787275036 874750040 984093795 1312125060 1574550072 1968187590 2624250120 3936375180 7872750360 153103125751 306206251502 459309377253 612412503004 765515628755 918618754506 1224825006008 1377928131759 1531031257510 1837237509012 2296546886265 2755856263518 3062062515020 3674475018024 4593093772530 5511712527036 6124125030040 6889640658795 9186187545060 11023425054072 13779281317590 18372375090120 27558562635180 55117125270360