Search a number
-
+
8050010112 = 21132436741
BaseRepresentation
bin1110111111101000…
…10110100000000000
3202210000111212212200
413133310112200000
5112441300310422
63410443353200
7403325646144
oct73764264000
922700455780
108050010112
113461025821
121687b22800
139b3a02cc1
145651a5224
15321ac82ac
hex1dfd16800

8050010112 has 72 divisors (see below), whose sum is σ = 23249960370. Its totient is φ = 2683330560.

The previous prime is 8050010107. The next prime is 8050010113. The reversal of 8050010112 is 2110100508.

It can be written as a sum of positive squares in only one way, i.e., 5170185216 + 2879824896 = 71904^2 + 53664^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (8050010113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199939 + ... + 236802.

Almost surely, 28050010112 is an apocalyptic number.

It is an amenable number.

8050010112 is an abundant number, since it is smaller than the sum of its proper divisors (15199950258).

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

8050010112 is a wasteful number, since it uses less digits than its factorization.

8050010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436769 (or 436746 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 8050010112 is about 89721.8485765870. The cubic root of 8050010112 is about 2004.1588553003.

The spelling of 8050010112 in words is "eight billion, fifty million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 436741 873482 1310223 1746964 2620446 3493928 3930669 5240892 6987856 7861338 10481784 13975712 15722676 20963568 27951424 31445352 41927136 55902848 62890704 83854272 111805696 125781408 167708544 223611392 251562816 335417088 447222784 503125632 670834176 894445568 1006251264 1341668352 2012502528 2683336704 4025005056 8050010112