Search a number
-
+
197185180060 = 225113135980537
BaseRepresentation
bin1011011110100100100…
…1110001000110011100
3200211222011201000110001
42313221021301012130
511212313401230220
6230330254424044
720150301242611
oct2675111610634
9624864630401
10197185180060
1176697991330
1232270b02024
131579610354b
149788320508
1551e12ad80a
hex2de927119c

197185180060 has 96 divisors (see below), whose sum is σ = 467610071040. Its totient is φ = 69196531200.

The previous prime is 197185180037. The next prime is 197185180147. The reversal of 197185180060 is 60081581791.

197185180060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 2408112 + ... + 2488648.

It is an arithmetic number, because the mean of its divisors is an integer number (4870938240).

Almost surely, 2197185180060 is an apocalyptic number.

197185180060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197185180060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233805035520).

197185180060 is an abundant number, since it is smaller than the sum of its proper divisors (270424890980).

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

197185180060 is a wasteful number, since it uses less digits than its factorization.

197185180060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80947 (or 80945 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 46.

The spelling of 197185180060 in words is "one hundred ninety-seven billion, one hundred eighty-five million, one hundred eighty thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 359 620 682 718 1364 1436 1705 1795 3410 3590 3949 6820 7180 7898 11129 15796 19745 22258 39490 44516 55645 78980 80537 111290 122419 161074 222580 244838 322148 402685 489676 612095 805370 885907 1224190 1610740 1771814 2448380 2496647 3543628 4429535 4993294 8859070 9986588 12483235 17718140 24966470 27463117 28912783 49932940 54926234 57825566 109852468 115651132 137315585 144563915 274631170 289127830 318040613 549262340 578255660 636081226 896296273 1272162452 1590203065 1792592546 3180406130 3585185092 4481481365 6360812260 8962962730 9859259003 17925925460 19718518006 39437036012 49296295015 98592590030 197185180060