Search a number
-
+
5984055297012 = 22313712811922677
BaseRepresentation
bin101011100010100010101…
…1111011000001111110100
3210012001220002202201100010
41113011011133120033310
51241020321124001022
620421012000420220
71155222316526502
oct127050537301764
923161802681303
105984055297012
1119a7907236071
12807900017670
133453a8b97cc0
141698b6333672
15a59d426650c
hex571457d83f4

5984055297012 has 96 divisors (see below), whose sum is σ = 15302917211904. Its totient is φ = 1808853580800.

The previous prime is 5984055296959. The next prime is 5984055297013. The reversal of 5984055297012 is 2107925504895.

It is a super-2 number, since 2×59840552970122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5984055297013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2151018 + ... + 4073694.

It is an arithmetic number, because the mean of its divisors is an integer number (159405387624).

Almost surely, 25984055297012 is an apocalyptic number.

5984055297012 is a gapful number since it is divisible by the number (52) 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 5984055297012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7651458605952).

5984055297012 is an abundant number, since it is smaller than the sum of its proper divisors (9318861914892).

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

5984055297012 is a wasteful number, since it uses less digits than its factorization.

5984055297012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923049 (or 1923047 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 57.

The spelling of 5984055297012 in words is "five trillion, nine hundred eighty-four billion, fifty-five million, two hundred ninety-seven thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 281 284 426 562 843 852 923 1124 1686 1846 2769 3372 3653 3692 5538 7306 10959 11076 14612 19951 21918 39902 43836 59853 79804 119706 239412 259363 518726 778089 1037452 1556178 1922677 3112356 3845354 5768031 7690708 11536062 23072124 24994801 49989602 74984403 99979204 136510067 149968806 273020134 299937612 409530201 540272237 546040268 819060402 1080544474 1620816711 1638120804 1774630871 2161088948 3241633422 3549261742 5323892613 6483266844 7023539081 7098523484 10647785226 14047078162 21070617243 21295570452 28094156324 38359328827 42141234486 76718657654 84282468972 115077986481 153437315308 230155972962 460311945924 498671274751 997342549502 1496013824253 1994685099004 2992027648506 5984055297012