Search a number
-
+
96820298064 = 24327439218797
BaseRepresentation
bin101101000101011110…
…0001000000101010000
3100020220120110202012100
41122022330020011100
53041241444014224
6112251215000400
76665203645320
oct1321274100520
9306816422170
1096820298064
1138074596a66
1216920b09100
13918cb29bc9
144986a3b280
1527b9eeaac9
hex168af08150

96820298064 has 120 divisors (see below), whose sum is σ = 310378090880. Its totient is φ = 27599802624.

The previous prime is 96820298063. The next prime is 96820298087. The reversal of 96820298064 is 46089202869.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 96820298064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96820298063) 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, 333114 + ... + 551910.

Almost surely, 296820298064 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 96820298064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155189045440).

96820298064 is an abundant number, since it is smaller than the sum of its proper divisors (213557792816).

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

96820298064 is a wasteful number, since it uses less digits than its factorization.

96820298064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219257 (or 219248 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 96820298064 in words is "ninety-six billion, eight hundred twenty million, two hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 439 504 878 1008 1317 1756 2634 3073 3512 3951 5268 6146 7024 7902 9219 10536 12292 15804 18438 21072 24584 27657 31608 36876 49168 55314 63216 73752 110628 147504 218797 221256 437594 442512 656391 875188 1312782 1531579 1750376 1969173 2625564 3063158 3500752 3938346 4594737 5251128 6126316 7876692 9189474 10502256 12252632 13784211 15753384 18378948 24505264 27568422 31506768 36757896 55136844 73515792 96051883 110273688 192103766 220547376 288155649 384207532 576311298 672363181 768415064 864466947 1152622596 1344726362 1536830128 1728933894 2017089543 2305245192 2689452724 3457867788 4034179086 4610490384 5378905448 6051268629 6915735576 8068358172 10757810896 12102537258 13831471152 16136716344 24205074516 32273432688 48410149032 96820298064