Search a number
-
+
8148188972 = 22711223118633
BaseRepresentation
bin1111001011010101…
…10111111100101100
3210000212020212221202
413211222313330230
5113141414021342
63424311545032
7405630314660
oct74552677454
923025225852
108148188972
113501492a80
1216b498b178
139cb1598c1
145742408a0
1532a51d332
hex1e5ab7f2c

8148188972 has 48 divisors (see below), whose sum is σ = 17857738752. Its totient is φ = 3160356480.

The previous prime is 8148188963. The next prime is 8148189013. The reversal of 8148188972 is 2798818418.

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, 9368 + ... + 128000.

It is an arithmetic number, because the mean of its divisors is an integer number (372036224).

Almost surely, 28148188972 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 8148188972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928869376).

8148188972 is an abundant number, since it is smaller than the sum of its proper divisors (9709549780).

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

8148188972 is a wasteful number, since it uses less digits than its factorization.

8148188972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118878 (or 118876 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 56.

The square root of 8148188972 is about 90267.3195126564. The cubic root of 8148188972 is about 2012.2736062191.

The spelling of 8148188972 in words is "eight billion, one hundred forty-eight million, one hundred eighty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 223 308 446 892 1561 2453 3122 4906 6244 9812 17171 34342 68684 118633 237266 474532 830431 1304963 1660862 2609926 3321724 5219852 9134741 18269482 26455159 36538964 52910318 105820636 185186113 291006749 370372226 582013498 740744452 1164026996 2037047243 4074094486 8148188972