Search a number
-
+
9968780220 = 2235723735191
BaseRepresentation
bin10010100100010111…
…11000001110111100
3221201202000111122020
421102023320032330
5130404001431340
64325105320140
7502015143120
oct112213701674
927652014566
109968780220
114256131143
121b22636050
13c2b3a9229
146a7d57580
153d52929d0
hex2522f83bc

9968780220 has 48 divisors (see below), whose sum is σ = 31900098048. Its totient is φ = 2278578240.

The previous prime is 9968780219. The next prime is 9968780251. The reversal of 9968780220 is 220878699.

It is a happy number.

9968780220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11867176 + ... + 11868015.

It is an arithmetic number, because the mean of its divisors is an integer number (664585376).

Almost surely, 29968780220 is an apocalyptic number.

It is an amenable number.

9968780220 is an abundant number, since it is smaller than the sum of its proper divisors (21931317828).

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

9968780220 is a wasteful number, since it uses less digits than its factorization.

9968780220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23735210 (or 23735208 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 9968780220 is about 99843.7790751131. The cubic root of 9968780220 is about 2152.1903202163.

The spelling of 9968780220 in words is "nine billion, nine hundred sixty-eight million, seven hundred eighty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 23735191 47470382 71205573 94940764 118675955 142411146 166146337 237351910 284822292 332292674 356027865 474703820 498439011 664585348 712055730 830731685 996878022 1424111460 1661463370 1993756044 2492195055 3322926740 4984390110 9968780220