Search a number
-
+
9992817690 = 2355316338557
BaseRepresentation
bin10010100111001111…
…00100110000011010
3221210102020201211220
421103213210300122
5130431130131230
64331324432510
7502426356162
oct112347446032
927712221756
109992817690
114268759919
121b2a6a8736
13c3337429b
146ab2135a2
153d743ed10
hex2539e4c1a

9992817690 has 64 divisors (see below), whose sum is σ = 24585814656. Its totient is φ = 2598365952.

The previous prime is 9992817629. The next prime is 9992817691. The reversal of 9992817690 is 967182999.

It is a happy number.

It is a super-2 number, since 2×99928176902 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9992817691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239892 + ... + 278448.

It is an arithmetic number, because the mean of its divisors is an integer number (384153354).

Almost surely, 29992817690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9992817690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12292907328).

9992817690 is an abundant number, since it is smaller than the sum of its proper divisors (14592996966).

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

9992817690 is a wasteful number, since it uses less digits than its factorization.

9992817690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38783.

The product of its (nonzero) digits is 4408992, while the sum is 60.

The square root of 9992817690 is about 99964.0819994862. The cubic root of 9992817690 is about 2153.9187725689.

The spelling of 9992817690 in words is "nine billion, nine hundred ninety-two million, eight hundred seventeen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 163 265 318 326 489 530 795 815 978 1590 1630 2445 4890 8639 17278 25917 38557 43195 51834 77114 86390 115671 129585 192785 231342 259170 385570 578355 1156710 2043521 4087042 6130563 6284791 10217605 12261126 12569582 18854373 20435210 30652815 31423955 37708746 61305630 62847910 94271865 188543730 333093923 666187846 999281769 1665469615 1998563538 3330939230 4996408845 9992817690