Search a number
-
+
55623162060 = 2232522310491321
BaseRepresentation
bin110011110011011001…
…100001100011001100
312022120110210101211100
4303303121201203030
51402404012141220
641315233223100
74006252035144
oct636331414314
9168513711740
1055623162060
1121653908a24
12a944101a90
135325a4695b
142999487924
1516a8391d90
hexcf36618cc

55623162060 has 144 divisors (see below), whose sum is σ = 169770182400. Its totient is φ = 14741084160.

The previous prime is 55623162047. The next prime is 55623162071. The reversal of 55623162060 is 6026132655.

It is a happy number.

55623162060 is a `hidden beast` number, since 5 + 5 + 6 + 23 + 1 + 620 + 6 + 0 = 666.

55623162060 is digitally balanced in base 2, 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42106200 + ... + 42107520.

It is an arithmetic number, because the mean of its divisors is an integer number (1178959600).

Almost surely, 255623162060 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 55623162060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84885091200).

55623162060 is an abundant number, since it is smaller than the sum of its proper divisors (114147020340).

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

55623162060 is a wasteful number, since it uses less digits than its factorization.

55623162060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 55623162060 in words is "fifty-five billion, six hundred twenty-three million, one hundred sixty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 223 446 669 892 1049 1115 1321 1338 2007 2098 2230 2642 2676 3147 3345 3963 4014 4196 4460 5245 5284 6294 6605 6690 7926 8028 9441 10035 10490 11889 12588 13210 13380 15735 15852 18882 19815 20070 20980 23778 26420 31470 37764 39630 40140 47205 47556 59445 62940 79260 94410 118890 188820 233927 237780 294583 467854 589166 701781 883749 935708 1169635 1178332 1385729 1403562 1472915 1767498 2105343 2339270 2651247 2771458 2807124 2945830 3508905 3534996 4157187 4210686 4418745 4678540 5302494 5542916 5891660 6928645 7017810 8314374 8421372 8837490 10526715 10604988 12471561 13256235 13857290 14035620 16628748 17674980 20785935 21053430 24943122 26512470 27714580 41571870 42106860 49886244 53024940 62357805 83143740 124715610 249431220 309017567 618035134 927052701 1236070268 1545087835 1854105402 2781158103 3090175670 3708210804 4635263505 5562316206 6180351340 9270527010 11124632412 13905790515 18541054020 27811581030 55623162060