Search a number
-
+
27122942784 = 263720180761
BaseRepresentation
bin11001010000101001…
…110100001101000000
32121000020121020211110
4121100221310031000
5421021433132114
620243214443320
71650063131640
oct312051641500
977006536743
1027122942784
11105592153a3
12530b503540
1327332c8092
1414542c6520
15a8b26c759
hex650a74340

27122942784 has 56 divisors (see below), whose sum is σ = 82014616768. Its totient is φ = 7749411840.

The previous prime is 27122942767. The next prime is 27122942813. The reversal of 27122942784 is 48724922172.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10089037 + ... + 10091724.

It is an arithmetic number, because the mean of its divisors is an integer number (1464546728).

Almost surely, 227122942784 is an apocalyptic number.

27122942784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27122942784 is an abundant number, since it is smaller than the sum of its proper divisors (54891673984).

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

27122942784 is a wasteful number, since it uses less digits than its factorization.

27122942784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20180783 (or 20180773 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The spelling of 27122942784 in words is "twenty-seven billion, one hundred twenty-two million, nine hundred forty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 20180761 40361522 60542283 80723044 121084566 141265327 161446088 242169132 282530654 322892176 423795981 484338264 565061308 645784352 847591962 968676528 1130122616 1291568704 1695183924 1937353056 2260245232 3390367848 3874706112 4520490464 6780735696 9040980928 13561471392 27122942784