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9313956990 = 2335132653549
BaseRepresentation
bin10001010110010011…
…11011010001111110
3220001002212001001000
420223021323101332
5123033333110430
64140114231130
7446544220362
oct105311732176
926032761030
109313956990
113a4a538818
12197b2854a6
13b55826a70
14644dbd2a2
15397a45e60
hex22b27b47e

9313956990 has 64 divisors (see below), whose sum is σ = 26747784000. Its totient is φ = 2292665472.

The previous prime is 9313956937. The next prime is 9313957027. The reversal of 9313956990 is 996593139.

It is a happy number.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1323265 + ... + 1330284.

It is an arithmetic number, because the mean of its divisors is an integer number (417934125).

Almost surely, 29313956990 is an apocalyptic number.

9313956990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9313956990 is an abundant number, since it is smaller than the sum of its proper divisors (17433827010).

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

9313956990 is a wasteful number, since it uses less digits than its factorization.

9313956990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653578 (or 2653572 counting only the distinct ones).

The product of its (nonzero) digits is 1771470, while the sum is 54.

The square root of 9313956990 is about 96508.8441024966. The cubic root of 9313956990 is about 2103.9951903621.

The spelling of 9313956990 in words is "nine billion, three hundred thirteen million, nine hundred fifty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 2653549 5307098 7960647 13267745 15921294 23881941 26535490 34496137 39803235 47763882 68992274 71645823 79606470 103488411 119409705 143291646 172480685 206976822 238819410 310465233 344961370 358229115 517442055 620930466 716458230 931395699 1034884110 1552326165 1862791398 3104652330 4656978495 9313956990