Search a number
-
+
7963411164 = 22323613311429
BaseRepresentation
bin1110110101010100…
…00000001011011100
3202112222120012110020
413122222000023130
5112302113124124
63354111312140
7401224610112
oct73252001334
922488505406
107963411164
113417157745
121662b1b650
1399baa2117
145578a1ab2
153191be379
hex1daa802dc

7963411164 has 96 divisors (see below), whose sum is σ = 19780400640. Its totient is φ = 2488147200.

The previous prime is 7963411147. The next prime is 7963411177. The reversal of 7963411164 is 4611143697.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5572002 + ... + 5573430.

It is an arithmetic number, because the mean of its divisors is an integer number (206045840).

Almost surely, 27963411164 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 7963411164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9890200320).

7963411164 is an abundant number, since it is smaller than the sum of its proper divisors (11816989476).

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

7963411164 is a wasteful number, since it uses less digits than its factorization.

7963411164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1849 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 7963411164 is about 89237.9468835988. The cubic root of 7963411164 is about 1996.9462700732.

The spelling of 7963411164 in words is "seven billion, nine hundred sixty-three million, four hundred eleven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 46 61 69 92 122 138 183 244 276 331 366 662 732 993 1324 1403 1429 1986 2806 2858 3972 4209 4287 5612 5716 7613 8418 8574 15226 16836 17148 20191 22839 30452 32867 40382 45678 60573 65734 80764 87169 91356 98601 121146 131468 174338 197202 242292 261507 348676 394404 464393 472999 523014 928786 945998 1046028 1393179 1418997 1857572 1891996 2004887 2786358 2837994 4009774 5572716 5675988 6014661 8019548 10878977 12029322 21757954 24058644 28852939 32636931 43515908 57705878 65273862 86558817 115411756 130547724 173117634 346235268 663617597 1327235194 1990852791 2654470388 3981705582 7963411164