Search a number
-
+
9245395068 = 223721310491153
BaseRepresentation
bin10001001110001000…
…11000100001111100
3212212022211201202120
420213010120201330
5122413310120233
64125224522540
7445052363400
oct104704304174
925768751676
109245395068
113a1486a178
121960320450
13b4456c990
14639c53100
15391a014b3
hex22711887c

9245395068 has 144 divisors (see below), whose sum is σ = 27074224800. Its totient is φ = 2433908736.

The previous prime is 9245395067. The next prime is 9245395087. The reversal of 9245395068 is 8605935429.

It is a self number, because there is not a number n which added to its sum of digits gives 9245395068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9245395067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8017980 + ... + 8019132.

It is an arithmetic number, because the mean of its divisors is an integer number (188015450).

Almost surely, 29245395068 is an apocalyptic number.

9245395068 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9245395068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13537112400).

9245395068 is an abundant number, since it is smaller than the sum of its proper divisors (17828829732).

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

9245395068 is a wasteful number, since it uses less digits than its factorization.

9245395068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The square root of 9245395068 is about 96152.9774265987. The cubic root of 9245395068 is about 2098.8198257697.

The spelling of 9245395068 in words is "nine billion, two hundred forty-five million, three hundred ninety-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1049 1092 1153 1274 1911 2098 2306 2548 3147 3459 3822 4196 4612 6294 6918 7343 7644 8071 12588 13637 13836 14686 14989 16142 22029 24213 27274 29372 29978 32284 40911 44058 44967 48426 51401 54548 56497 59956 81822 88116 89934 95459 96852 102802 104923 112994 154203 163644 169491 179868 190918 205604 209846 225988 286377 308406 314769 338982 381836 419692 572754 616812 629538 668213 677964 734461 1145508 1209497 1259076 1336426 1468922 2004639 2203383 2418994 2672852 2937844 3628491 4009278 4406766 4837988 7256982 8018556 8466479 8813532 14513964 15723461 16932958 25399437 31446922 33865916 47170383 50798874 59265353 62893844 94340766 101597748 110064227 118530706 177796059 188681532 220128454 237061412 330192681 355592118 440256908 660385362 711184236 770449589 1320770724 1540899178 2311348767 3081798356 4622697534 9245395068