Search a number
-
+
274221873888 = 25317168028109
BaseRepresentation
bin1111111101100011100…
…1011011101011100000
3222012210222211112120120
43333120321123223200
513443101244431023
6325550434240240
725545321316614
oct3773071335340
9865728745516
10274221873888
11a632a10a646
1245190426080
131cb22330851
14d3b56c5344
1571ee5358e3
hex3fd8e5bae0

274221873888 has 48 divisors (see below), whose sum is σ = 762175506960. Its totient is φ = 86030391296.

The previous prime is 274221873851. The next prime is 274221873899. The reversal of 274221873888 is 888378122472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2742218738882 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84012423 + ... + 84015686.

It is an arithmetic number, because the mean of its divisors is an integer number (15878656395).

Almost surely, 2274221873888 is an apocalyptic number.

It is an amenable number.

274221873888 is an abundant number, since it is smaller than the sum of its proper divisors (487953633072).

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

274221873888 is a wasteful number, since it uses less digits than its factorization.

274221873888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168028139 (or 168028131 counting only the distinct ones).

The product of its digits is 19267584, while the sum is 60.

The spelling of 274221873888 in words is "two hundred seventy-four billion, two hundred twenty-one million, eight hundred seventy-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 168028109 336056218 504084327 672112436 1008168654 1344224872 2016337308 2688449744 2856477853 4032674616 5376899488 5712955706 8065349232 8569433559 11425911412 16130698464 17138867118 22851822824 34277734236 45703645648 68555468472 91407291296 137110936944 274221873888