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55120133502 = 2337198392467
BaseRepresentation
bin110011010101011010…
…100111110101111110
312021021102020220101000
4303111122213311332
51400341223233002
641153303431130
73660633255450
oct632532476576
9167242226330
1055120133502
1121415973145
12a8237554a6
135275771215
14294c7442d0
15167912b61c
hexcd56a7d7e

55120133502 has 128 divisors (see below), whose sum is σ = 149132390400. Its totient is φ = 14739820128.

The previous prime is 55120133477. The next prime is 55120133531. The reversal of 55120133502 is 20533102155.

It is a happy number.

55120133502 is a `hidden beast` number, since 5 + 5 + 1 + 20 + 133 + 502 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 549873 + ... + 642339.

It is an arithmetic number, because the mean of its divisors is an integer number (1165096800).

Almost surely, 255120133502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55120133502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74566195200).

55120133502 is an abundant number, since it is smaller than the sum of its proper divisors (94012256898).

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

55120133502 is a wasteful number, since it uses less digits than its factorization.

55120133502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92587 (or 92581 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 55120133502 its reverse (20533102155), we get a palindrome (75653235657).

The spelling of 55120133502 in words is "fifty-five billion, one hundred twenty million, one hundred thirty-three thousand, five hundred two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 83 114 126 133 166 171 189 249 266 342 378 399 498 513 581 747 798 1026 1162 1197 1494 1577 1743 2241 2394 3154 3486 3591 4482 4731 5229 7182 9462 10458 11039 14193 15687 22078 28386 31374 33117 42579 66234 85158 92467 99351 184934 198702 277401 298053 554802 596106 647269 832203 1294538 1664406 1756873 1941807 2496609 3513746 3883614 4993218 5270619 5825421 7674761 10541238 11650842 12298111 15349522 15811857 17476263 23024283 24596222 31623714 34952526 36894333 46048566 47435571 53723327 69072849 73788666 94871142 107446654 110682999 138145698 145820459 161169981 207218547 221365998 291640918 322339962 332048997 414437094 437461377 483509943 664097994 874922754 967019886 1020743213 1312384131 1450529829 2041486426 2624768262 2901059658 3062229639 3937152393 6124459278 7874304786 9186688917 18373377834 27560066751 55120133502