Search a number
-
+
8195463552 = 27331739431
BaseRepresentation
bin1111010000111110…
…01101100110000000
3210011011012200111010
413220133031212000
5113241014313202
63433121120520
7410043201513
oct75037154600
923134180433
108195463552
113526142081
121708789140
13a07b9c623
1457a628d7a
1532e75a76c
hex1e87cd980

8195463552 has 128 divisors (see below), whose sum is σ = 22781675520. Its totient is φ = 2607206400.

The previous prime is 8195463541. The next prime is 8195463589. The reversal of 8195463552 is 2553645918.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 864277 + ... + 873707.

It is an arithmetic number, because the mean of its divisors is an integer number (177981840).

Almost surely, 28195463552 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 8195463552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11390837760).

8195463552 is an abundant number, since it is smaller than the sum of its proper divisors (14586211968).

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

8195463552 is a wasteful number, since it uses less digits than its factorization.

8195463552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9552 (or 9540 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 48.

The square root of 8195463552 is about 90528.7995722908. The cubic root of 8195463552 is about 2016.1577414995.

The spelling of 8195463552 in words is "eight billion, one hundred ninety-five million, four hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 73 93 96 124 128 146 186 192 219 248 292 372 384 438 496 584 744 876 992 1168 1488 1752 1984 2263 2336 2976 3504 3968 4526 4672 5952 6789 7008 9052 9344 9431 11904 13578 14016 18104 18862 27156 28032 28293 36208 37724 54312 56586 72416 75448 108624 113172 144832 150896 217248 226344 289664 292361 301792 434496 452688 584722 603584 688463 868992 877083 905376 1169444 1207168 1376926 1754166 1810752 2065389 2338888 2753852 3508332 3621504 4130778 4677776 5507704 7016664 8261556 9355552 11015408 14033328 16523112 18711104 21342353 22030816 28066656 33046224 37422208 42684706 44061632 56133312 64027059 66092448 85369412 88123264 112266624 128054118 132184896 170738824 256108236 264369792 341477648 512216472 682955296 1024432944 1365910592 2048865888 2731821184 4097731776 8195463552