Search a number
-
+
13957601832 = 2334103920731
BaseRepresentation
bin11001111111111000…
…00001101000101000
31100000201200122020000
430333330001220220
5212041121224312
610224555503000
71002611441466
oct147774015050
940021618200
1013957601832
115a1277a929
122856457a60
1314158b58c5
149659db836
1556a55aadc
hex33ff01a28

13957601832 has 80 divisors (see below), whose sum is σ = 39133723200. Its totient is φ = 4647831840.

The previous prime is 13957601831. The next prime is 13957601863. The reversal of 13957601832 is 23810675931.

13957601832 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 7 + 601 + 8 + 32 = 666.

13957601832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13957601831) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 662907 + ... + 683637.

It is an arithmetic number, because the mean of its divisors is an integer number (489171540).

Almost surely, 213957601832 is an apocalyptic number.

13957601832 is a gapful number since it is divisible by the number (12) 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 13957601832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19566861600).

13957601832 is an abundant number, since it is smaller than the sum of its proper divisors (25176121368).

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

13957601832 is a wasteful number, since it uses less digits than its factorization.

13957601832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21788 (or 21775 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13957601832 in words is "thirteen billion, nine hundred fifty-seven million, six hundred one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1039 2078 3117 4156 6234 8312 9351 12468 18702 20731 24936 28053 37404 41462 56106 62193 74808 82924 84159 112212 124386 165848 168318 186579 224424 248772 336636 373158 497544 559737 673272 746316 1119474 1492632 1679211 2238948 3358422 4477896 6716844 13433688 21539509 43079018 64618527 86158036 129237054 172316072 193855581 258474108 387711162 516948216 581566743 775422324 1163133486 1550844648 1744700229 2326266972 3489400458 4652533944 6978800916 13957601832