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55018522116 = 223231594491861
BaseRepresentation
bin110011001111010111…
…000000011000000100
312021000100001111202100
4303033113000120010
51400134220201431
641135233512100
73655260502365
oct631727003004
9167010044670
1055018522116
1121373580a98
12a7b5712630
13525a6b513c
14293d053b6c
1516702594e6
hexccf5c0604

55018522116 has 144 divisors (see below), whose sum is σ = 146397888000. Its totient is φ = 17398886400.

The previous prime is 55018522109. The next prime is 55018522121. The reversal of 55018522116 is 61122581055.

55018522116 is a `hidden beast` number, since 5 + 5 + 0 + 18 + 522 + 116 = 666.

It is a super-2 number, since 2×550185221162 (a number of 22 digits) contains 22 as substring.

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, 29563026 + ... + 29564886.

It is an arithmetic number, because the mean of its divisors is an integer number (1016652000).

Almost surely, 255018522116 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 55018522116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73198944000).

55018522116 is an abundant number, since it is smaller than the sum of its proper divisors (91379365884).

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

55018522116 is a wasteful number, since it uses less digits than its factorization.

55018522116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 55018522116 in words is "fifty-five billion, eighteen million, five hundred twenty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 59 62 93 118 124 177 186 236 279 354 372 449 531 558 708 898 1062 1116 1347 1796 1829 1861 2124 2694 3658 3722 4041 5388 5487 5583 7316 7444 8082 10974 11166 13919 16164 16461 16749 21948 22332 26491 27838 32922 33498 41757 52982 55676 57691 65844 66996 79473 83514 105964 109799 115382 125271 158946 167028 173073 219598 230764 238419 250542 317892 329397 346146 439196 476838 501084 519219 658794 692292 821221 835589 953676 988191 1038438 1317588 1642442 1671178 1976382 2076876 2463663 2506767 3284884 3342356 3403769 3952764 4927326 5013534 6807538 7390989 7520301 9854652 10027068 10211307 13615076 14781978 15040602 20422614 25903259 29563956 30081204 30633921 40845228 49299751 51806518 61267842 77709777 98599502 103613036 122535684 147899253 155419554 197199004 233129331 295798506 310839108 443697759 466258662 591597012 887395518 932517324 1528292281 1774791036 3056584562 4584876843 6113169124 9169753686 13754630529 18339507372 27509261058 55018522116