Search a number
-
+
9700067112 = 2331923730259
BaseRepresentation
bin10010000100010101…
…10100011100101000
3221001000101110112220
421002022310130220
5124331204121422
64242310034040
7462243132021
oct110212643450
927030343486
109700067112
114128486a9a
121a68648920
13bb78140a8
146803a9c48
153bb8b3e5c
hex2422b4728

9700067112 has 96 divisors (see below), whose sum is σ = 26286256800. Its totient is φ = 2980291968.

The previous prime is 9700067099. The next prime is 9700067159. The reversal of 9700067112 is 2117600079.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305439 + ... + 335697.

It is an arithmetic number, because the mean of its divisors is an integer number (273815175).

Almost surely, 29700067112 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 9700067112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13143128400).

9700067112 is an abundant number, since it is smaller than the sum of its proper divisors (16586189688).

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

9700067112 is a wasteful number, since it uses less digits than its factorization.

9700067112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30343 (or 30320 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 9700067112 is about 98488.9187269309. The cubic root of 9700067112 is about 2132.6761539767.

The spelling of 9700067112 in words is "nine billion, seven hundred million, sixty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 361 444 456 703 722 888 1083 1406 1444 2109 2166 2812 2888 4218 4332 5624 8436 8664 13357 16872 26714 30259 40071 53428 60518 80142 90777 106856 121036 160284 181554 242072 320568 363108 574921 726216 1119583 1149842 1724763 2239166 2299684 3358749 3449526 4478332 4599368 6717498 6899052 8956664 10923499 13434996 13798104 21272077 21846998 26869992 32770497 42544154 43693996 63816231 65540994 85088308 87387992 127632462 131081988 170176616 255264924 262163976 404169463 510529848 808338926 1212508389 1616677852 2425016778 3233355704 4850033556 9700067112