Search a number
-
+
242692694980 = 2252935910511109
BaseRepresentation
bin1110001000000110011…
…1001010001111000100
3212012102200010022002121
43202001213022033010
512434013312214410
6303254054415324
723351102604331
oct3420147121704
9765380108077
10242692694980
1193a1a77689a
123b051361544
1319b691cb178
14ba6413d988
1564a654b9da
hex38819ca3c4

242692694980 has 96 divisors (see below), whose sum is σ = 529677792000. Its totient is φ = 93295372800.

The previous prime is 242692694939. The next prime is 242692695001. The reversal of 242692694980 is 89496296242.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218838666 + ... + 218839774.

It is an arithmetic number, because the mean of its divisors is an integer number (5517477000).

Almost surely, 2242692694980 is an apocalyptic number.

242692694980 is a gapful number since it is divisible by the number (20) 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 242692694980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264838896000).

242692694980 is an abundant number, since it is smaller than the sum of its proper divisors (286985097020).

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

242692694980 is a wasteful number, since it uses less digits than its factorization.

242692694980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 61.

The spelling of 242692694980 in words is "two hundred forty-two billion, six hundred ninety-two million, six hundred ninety-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 359 580 718 1051 1109 1436 1795 2102 2218 3590 4204 4436 5255 5545 7180 10411 10510 11090 20822 21020 22180 30479 32161 41644 52055 60958 64322 104110 121916 128644 152395 160805 208220 304790 321610 377309 398131 609580 643220 754618 796262 1165559 1509236 1592524 1886545 1990655 2331118 3773090 3981310 4662236 5827795 7546180 7962620 10941961 11545799 11655590 21883922 23091598 23311180 33801211 43767844 46183196 54709805 57728995 67602422 109419610 115457990 135204844 169006055 218839220 230915980 338012110 418435681 676024220 836871362 1673742724 2092178405 4184356810 8368713620 12134634749 24269269498 48538538996 60673173745 121346347490 242692694980