Search a number
-
+
2013370368 = 211367273
BaseRepresentation
bin111100000000001…
…1001100000000000
312012022111210220220
41320000121200000
513110410322433
6531441303040
7100615236312
oct17000314000
95168453826
102013370368
11943549a59
12482334a80
13261179019
141515797b2
15bbb542b3
hex78019800

2013370368 has 144 divisors (see below), whose sum is σ = 5523630840. Its totient is φ = 652050432.

The previous prime is 2013370357. The next prime is 2013370399. The reversal of 2013370368 is 8630733102.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27580380 + ... + 27580452.

Almost surely, 22013370368 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 2013370368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761815420).

2013370368 is an abundant number, since it is smaller than the sum of its proper divisors (3510260472).

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

2013370368 is an frugal number, since it uses more digits than its factorization.

2013370368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2013370368 is about 44870.5958061624. The cubic root of 2013370368 is about 1262.7224179323.

The spelling of 2013370368 in words is "two billion, thirteen million, three hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 73 96 128 134 146 192 201 219 256 268 292 384 402 438 512 536 584 768 804 876 1024 1072 1168 1536 1608 1752 2048 2144 2336 3072 3216 3504 4288 4489 4672 4891 6144 6432 7008 8576 8978 9344 9782 12864 13467 14016 14673 17152 17956 18688 19564 25728 26934 28032 29346 34304 35912 37376 39128 51456 53868 56064 58692 68608 71824 74752 78256 102912 107736 112128 117384 137216 143648 149504 156512 205824 215472 224256 234768 287296 313024 327697 411648 430944 448512 469536 574592 626048 655394 861888 939072 983091 1149184 1252096 1310788 1723776 1878144 1966182 2298368 2504192 2621576 3447552 3756288 3932364 4596736 5008384 5243152 6895104 7512576 7864728 9193472 10016768 10486304 13790208 15025152 15729456 20972608 27580416 30050304 31458912 41945216 62917824 83890432 125835648 167780864 251671296 335561728 503342592 671123456 1006685184 2013370368