Search a number
-
+
187074374591936 = 26134912101921787
BaseRepresentation
bin101010100010010010100101…
…101001001110010111000000
3220112101010122211001021011002
4222202102211221032113000
5144010011304343420221
61501512440430311132
754255451253166116
oct5242224551162700
9815333584037132
10187074374591936
1154675884490367
1218b943256584a8
138050065156260
14342a63b5d7ab6
1516963790d380b
hexaa24a5a4e5c0

187074374591936 has 112 divisors (see below), whose sum is σ = 400633201637760. Its totient is φ = 86158115527680.

The previous prime is 187074374591921. The next prime is 187074374591941. The reversal of 187074374591936 is 639195473470781.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8586502835 + ... + 8586524621.

It is an arithmetic number, because the mean of its divisors is an integer number (3577082157480).

Almost surely, 2187074374591936 is an apocalyptic number.

187074374591936 is a gapful number since it is divisible by the number (16) 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 187074374591936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200316600818880).

187074374591936 is an abundant number, since it is smaller than the sum of its proper divisors (213558827045824).

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

187074374591936 is a wasteful number, since it uses less digits than its factorization.

187074374591936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43322 (or 43312 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 74.

The spelling of 187074374591936 in words is "one hundred eighty-seven trillion, seventy-four billion, three hundred seventy-four million, five hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 491 832 982 1964 3928 6383 7856 12766 15712 21019 21787 25532 31424 42038 43574 51064 84076 87148 102128 168152 174296 204256 273247 283231 336304 348592 408512 546494 566462 672608 697184 1092988 1132924 1345216 1394368 2185976 2265848 4371952 4531696 8743904 9063392 10320329 10697417 17487808 18126784 20640658 21394834 41281316 42789668 82562632 85579336 134164277 139066421 165125264 171158672 268328554 278132842 330250528 342317344 457940953 536657108 556265684 660501056 684634688 915881906 1073314216 1112531368 1831763812 2146628432 2225062736 3663527624 4293256864 4450125472 5953232389 7327055248 8586513728 8900250944 11906464778 14654110496 23812929556 29308220992 47625859112 95251718224 190503436448 224849007923 381006872896 449698015846 899396031692 1798792063384 2923037102999 3597584126768 5846074205998 7195168253536 11692148411996 14390336507072 23384296823992 46768593647984 93537187295968 187074374591936