Search a number
-
+
8198983656 = 23321011915903
BaseRepresentation
bin1111010001011001…
…01000111111101000
3210011101211112011100
413220230220333220
5113242414434111
63433324401400
7410115132303
oct75054507750
923141745140
108198983656
113528126856
1217099a6260
13a08832926
1457aca3b3a
1532ec03756
hex1e8b28fe8

8198983656 has 96 divisors (see below), whose sum is σ = 22546667520. Its totient is φ = 2691312000.

The previous prime is 8198983603. The next prime is 8198983657. The reversal of 8198983656 is 6563898918.

It is a junction number, because it is equal to n+sod(n) for n = 8198983593 and 8198983602.

It is not an unprimeable number, because it can be changed into a prime (8198983657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1386001 + ... + 1391903.

It is an arithmetic number, because the mean of its divisors is an integer number (234861120).

Almost surely, 28198983656 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 8198983656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11273333760).

8198983656 is an abundant number, since it is smaller than the sum of its proper divisors (14347683864).

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

8198983656 is a wasteful number, since it uses less digits than its factorization.

8198983656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6207 (or 6200 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The square root of 8198983656 is about 90548.2393865281. The cubic root of 8198983656 is about 2016.4463592622.

The spelling of 8198983656 in words is "eight billion, one hundred ninety-eight million, nine hundred eighty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 191 202 303 382 404 573 606 764 808 909 1146 1212 1528 1719 1818 2292 2424 3438 3636 4584 5903 6876 7272 11806 13752 17709 19291 23612 35418 38582 47224 53127 57873 70836 77164 106254 115746 141672 154328 173619 212508 231492 347238 425016 462984 596203 694476 1127473 1192406 1388952 1788609 2254946 2384812 3382419 3577218 4509892 4769624 5365827 6764838 7154436 9019784 10147257 10731654 13529676 14308872 20294514 21463308 27059352 40589028 42926616 81178056 113874773 227749546 341624319 455499092 683248638 910998184 1024872957 1366497276 2049745914 2732994552 4099491828 8198983656