Search a number
-
+
7830630198 = 2323714717993
BaseRepresentation
bin1110100101011110…
…11110111100110110
3202012201201020012200
413102233132330312
5112014120131243
63333005325330
7365023154436
oct72257367466
922181636180
107830630198
113359206406
121626566846
1397a4218c1
14543dba2c6
1530c6e1ad3
hex1d2bdef36

7830630198 has 48 divisors (see below), whose sum is σ = 17438942976. Its totient is φ = 2537619840.

The previous prime is 7830630173. The next prime is 7830630229. The reversal of 7830630198 is 8910360387.

It is a happy number.

7830630198 is a `hidden beast` number, since 7 + 8 + 3 + 0 + 630 + 1 + 9 + 8 = 666.

It is a super-3 number, since 3×78306301983 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 975690 + ... + 983682.

It is an arithmetic number, because the mean of its divisors is an integer number (363311312).

Almost surely, 27830630198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7830630198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8719471488).

7830630198 is an abundant number, since it is smaller than the sum of its proper divisors (9608312778).

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

7830630198 is a wasteful number, since it uses less digits than its factorization.

7830630198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9509 (or 9506 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7830630198 is about 88490.8481030666. The cubic root of 7830630198 is about 1985.7850568909.

The spelling of 7830630198 in words is "seven billion, eight hundred thirty million, six hundred thirty thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1471 2942 4413 7993 8826 13239 15986 23979 26478 47958 54427 71937 108854 143874 163281 295741 326562 489843 591482 887223 979686 1774446 2661669 5323338 11757703 23515406 35273109 70546218 105819327 211638654 435035011 870070022 1305105033 2610210066 3915315099 7830630198