Search a number
-
+
116370621630 = 232511328340433
BaseRepresentation
bin110110001100000111…
…0101100010010111110
3102010101001212002100100
41230120032230102332
53401311334343010
6125243202141530
711256525651234
oct1543016542276
9363331762310
10116370621630
114539720046a
121a6783518a6
13ac872bc1c3
1458bd30a954
15306153e2c0
hex1b183ac4be

116370621630 has 96 divisors (see below), whose sum is σ = 306327337056. Its totient is φ = 30648102912.

The previous prime is 116370621629. The next prime is 116370621667. The reversal of 116370621630 is 36126073611.

116370621630 is a `hidden beast` number, since 1 + 1 + 637 + 0 + 6 + 2 + 16 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2857894 + ... + 2898326.

It is an arithmetic number, because the mean of its divisors is an integer number (3190909761).

Almost surely, 2116370621630 is an apocalyptic number.

116370621630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116370621630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153163668528).

116370621630 is an abundant number, since it is smaller than the sum of its proper divisors (189956715426).

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

116370621630 is a wasteful number, since it uses less digits than its factorization.

116370621630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40842 (or 40839 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 116370621630 in words is "one hundred sixteen billion, three hundred seventy million, six hundred twenty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 283 339 565 566 678 849 1017 1130 1415 1695 1698 2034 2547 2830 3390 4245 5085 5094 8490 10170 12735 25470 31979 40433 63958 80866 95937 121299 159895 191874 202165 242598 287811 319790 363897 404330 479685 575622 606495 727794 959370 1212990 1439055 1819485 2878110 3638970 4568929 9137858 11442539 13706787 22844645 22885078 27413574 34327617 41120361 45689290 57212695 68533935 68655234 82240722 102982851 114425390 137067870 171638085 205601805 205965702 343276170 411203610 514914255 1029828510 1293006907 2586013814 3879020721 6465034535 7758041442 11637062163 12930069070 19395103605 23274124326 38790207210 58185310815 116370621630