Search a number
-
+
7981360128 = 210327123719
BaseRepresentation
bin1110110111011100…
…11110010000000000
3202121020100002210200
413123232132100000
5112321212011003
63355552125200
7401533304340
oct73356362000
922536302720
107981360128
1134262a6aa5
121668b36800
139a2717b01
1455a014d20
1531aa676a3
hex1dbb9e400

7981360128 has 132 divisors (see below), whose sum is σ = 26338503360. Its totient is φ = 2280370176.

The previous prime is 7981360117. The next prime is 7981360139. The reversal of 7981360128 is 8210631897.

7981360128 is a `hidden beast` number, since 7 + 9 + 8 + 13 + 601 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (7981360117) and next prime (7981360139).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2653 + ... + 126371.

Almost surely, 27981360128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7981360128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13169251680).

7981360128 is an abundant number, since it is smaller than the sum of its proper divisors (18357143232).

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

7981360128 is a wasteful number, since it uses less digits than its factorization.

7981360128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123752 (or 123731 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 7981360128 is about 89338.4582808546. The cubic root of 7981360128 is about 1998.4454693636.

The spelling of 7981360128 in words is "seven billion, nine hundred eighty-one million, three hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 32256 64512 123719 247438 371157 494876 742314 866033 989752 1113471 1484628 1732066 1979504 2226942 2598099 2969256 3464132 3959008 4453884 5196198 5938512 6928264 7794297 7918016 8907768 10392396 11877024 13856528 15588594 15836032 17815536 20784792 23754048 27713056 31177188 31672064 35631072 41569584 47508096 55426112 62354376 63344128 71262144 83139168 95016192 110852224 124708752 126688256 142524288 166278336 190032384 221704448 249417504 285048576 332556672 380064768 443408896 498835008 570097152 665113344 886817792 997670016 1140194304 1330226688 1995340032 2660453376 3990680064 7981360128