Search a number
-
+
13233087296 = 2611133739079
BaseRepresentation
bin11000101001100000…
…01110001101000000
31021011020101111010022
430110300032031000
5204100132243141
610025034553012
7645633246302
oct142460161500
937136344108
1013233087296
115680807390
122693898768
13132b772290
148d76c1972
15526b44b4b
hex314c0e340

13233087296 has 112 divisors (see below), whose sum is σ = 31684813440. Its totient is φ = 5402142720.

The previous prime is 13233087289. The next prime is 13233087299. The reversal of 13233087296 is 69278033231.

It is a super-2 number, since 2×132330872962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233087299) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319085 + ... + 358163.

It is an arithmetic number, because the mean of its divisors is an integer number (282900120).

Almost surely, 213233087296 is an apocalyptic number.

13233087296 is a gapful number since it is divisible by the number (16) 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 13233087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842406720).

13233087296 is an abundant number, since it is smaller than the sum of its proper divisors (18451726144).

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

13233087296 is a wasteful number, since it uses less digits than its factorization.

13233087296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39152 (or 39142 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The spelling of 13233087296 in words is "thirteen billion, two hundred thirty-three million, eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 37 44 52 64 74 88 104 143 148 176 208 286 296 352 407 416 481 572 592 704 814 832 962 1144 1184 1628 1924 2288 2368 3256 3848 4576 5291 6512 7696 9152 10582 13024 15392 21164 26048 30784 39079 42328 78158 84656 156316 169312 312632 338624 429869 508027 625264 859738 1016054 1250528 1445923 1719476 2032108 2501056 2891846 3438952 4064216 5588297 5783692 6877904 8128432 11176594 11567384 13755808 15905153 16256864 18796999 22353188 23134768 27511616 31810306 32513728 37593998 44706376 46269536 63620612 75187996 89412752 92539072 127241224 150375992 178825504 206766989 254482448 300751984 357651008 413533978 508964896 601503968 827067956 1017929792 1203007936 1654135912 3308271824 6616543648 13233087296