Search a number
-
+
54521412114 = 231321912132333
BaseRepresentation
bin110010110001101110…
…101011101000010010
312012201200122201000210
4302301232223220102
51343124440141424
641014035024550
73640043233161
oct626156535022
9165650581023
1054521412114
1121138a08984
12a69713b156
1351ab702600
1428d30113d8
1516417b2729
hexcb1baba12

54521412114 has 96 divisors (see below), whose sum is σ = 124446265920. Its totient is φ = 15872972544.

The previous prime is 54521412091. The next prime is 54521412119. The reversal of 54521412114 is 41121412545.

54521412114 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 (54521412119) 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, 23368492 + ... + 23370824.

It is an arithmetic number, because the mean of its divisors is an integer number (1296315270).

Almost surely, 254521412114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54521412114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62223132960).

54521412114 is an abundant number, since it is smaller than the sum of its proper divisors (69924853806).

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

54521412114 is a wasteful number, since it uses less digits than its factorization.

54521412114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3583 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

Adding to 54521412114 its reverse (41121412545), we get a palindrome (95642824659).

The spelling of 54521412114 in words is "fifty-four billion, five hundred twenty-one million, four hundred twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 169 247 338 494 507 741 1014 1213 1482 2333 2426 3211 3639 4666 6422 6999 7278 9633 13998 15769 19266 23047 30329 31538 44327 46094 47307 60658 69141 88654 90987 94614 132981 138282 181974 204997 265962 299611 394277 409994 576251 599222 614991 788554 898833 1152502 1182831 1229982 1728753 1797666 2365662 2829929 3457506 3894943 5659858 7491263 7789886 8489787 11684829 14982526 16979574 22473789 23369658 36789077 44947578 53768651 73578154 107537302 110367231 161305953 220734462 322611906 478258001 698992463 956516002 1397984926 1434774003 2096977389 2869548006 4193954778 9086902019 18173804038 27260706057 54521412114