Search a number
-
+
13880663368 = 2311133728863
BaseRepresentation
bin11001110110101101…
…00001110101001000
31022211100220202111021
430323112201311020
5211411422211433
610213210442224
71000655456215
oct147326416510
938740822437
1013880663368
1159832aa920
122834733374
131402987ba0
149596d0b0c
1556390e22d
hex33b5a1d48

13880663368 has 96 divisors (see below), whose sum is σ = 31428552960. Its totient is φ = 5666008320.

The previous prime is 13880663359. The next prime is 13880663383. The reversal of 13880663368 is 86336608831.

13880663368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 23 ways as a sum of consecutive naturals, for example, 1561705 + ... + 1570567.

It is an arithmetic number, because the mean of its divisors is an integer number (327380760).

Almost surely, 213880663368 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 13880663368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15714276480).

13880663368 is an abundant number, since it is smaller than the sum of its proper divisors (17547889592).

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

13880663368 is a wasteful number, since it uses less digits than its factorization.

13880663368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8967 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 13880663368 in words is "thirteen billion, eight hundred eighty million, six hundred sixty-three thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 13 22 26 37 44 52 74 88 104 143 148 286 296 407 481 572 814 962 1144 1369 1628 1924 2738 3256 3848 5291 5476 8863 10582 10952 15059 17726 17797 21164 30118 35452 35594 42328 60236 70904 71188 97493 115219 120472 142376 194986 195767 230438 327931 389972 391534 460876 655862 779944 783068 921752 1267409 1311724 1566136 2534818 2623448 3607241 4263103 5069636 7214482 8526206 10139272 12133447 14428964 17052412 24266894 28857928 34104824 46894133 48533788 93788266 97067576 133467917 157734811 187576532 266935834 315469622 375153064 533871668 630939244 1067743336 1261878488 1735082921 3470165842 6940331684 13880663368