Search a number
-
+
8151298048 = 2121031392
BaseRepresentation
bin1111001011101101…
…01111000000000000
3210001002002211210201
413211312233000000
5113143213014143
63424502334544
7405665614225
oct74566570000
923032084721
108151298048
113503216963
1216b5a2a454
139cb9a7aaa
1457480d94c
1532a93464d
hex1e5daf000

8151298048 has 78 divisors (see below), whose sum is σ = 16578125304. Its totient is φ = 4007043072.

The previous prime is 8151298009. The next prime is 8151298063. The reversal of 8151298048 is 8408921518.

It is a happy number.

It is a super-2 number, since 2×81512980482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8151297989 and 8151298007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58642363 + ... + 58642501.

It is an arithmetic number, because the mean of its divisors is an integer number (212540068).

Almost surely, 28151298048 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 8151298048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8289062652).

8151298048 is an abundant number, since it is smaller than the sum of its proper divisors (8426827256).

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

8151298048 is an equidigital number, since it uses as much as digits as its factorization.

8151298048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 46.

The square root of 8151298048 is about 90284.5393630604. The cubic root of 8151298048 is about 2012.5295124101.

The spelling of 8151298048 in words is "eight billion, one hundred fifty-one million, two hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 103 128 139 206 256 278 412 512 556 824 1024 1112 1648 2048 2224 3296 4096 4448 6592 8896 13184 14317 17792 19321 26368 28634 35584 38642 52736 57268 71168 77284 105472 114536 142336 154568 210944 229072 284672 309136 421888 458144 569344 618272 916288 1236544 1832576 1990063 2473088 3665152 3980126 4946176 7330304 7960252 9892352 14660608 15920504 19784704 29321216 31841008 39569408 58642432 63682016 79138816 127364032 254728064 509456128 1018912256 2037824512 4075649024 8151298048