Search a number
-
+
2016839399136 = 25331839807749
BaseRepresentation
bin11101010110010100111…
…111101111011011100000
321010210211000010221220120
4131112110333233123200
5231020441341233021
64142305003440240
7265466106015132
oct35262477573340
97123730127816
102016839399136
11708378297681
12286a63526080
131182581b6683
146d8890c5052
15376e152e2c6
hex1d594fef6e0

2016839399136 has 96 divisors (see below), whose sum is σ = 5471504640000. Its totient is φ = 649817111040.

The previous prime is 2016839399131. The next prime is 2016839399147. The reversal of 2016839399136 is 6319939386102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2016839399136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016839399131) 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, 2092990 + ... + 2900738.

It is an arithmetic number, because the mean of its divisors is an integer number (56994840000).

Almost surely, 22016839399136 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 2016839399136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735752320000).

2016839399136 is an abundant number, since it is smaller than the sum of its proper divisors (3454665240864).

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

2016839399136 is a wasteful number, since it uses less digits than its factorization.

2016839399136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808632 (or 808624 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 60.

The spelling of 2016839399136 in words is "two trillion, sixteen billion, eight hundred thirty-nine million, three hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 839 992 1488 1678 2517 2976 3356 5034 6712 10068 13424 20136 26009 26848 40272 52018 78027 80544 104036 156054 208072 312108 416144 624216 807749 832288 1248432 1615498 2423247 2496864 3230996 4846494 6461992 9692988 12923984 19385976 25040219 25847968 38771952 50080438 75120657 77543904 100160876 150241314 200321752 300482628 400643504 600965256 677701411 801287008 1201930512 1355402822 2033104233 2403861024 2710805644 4066208466 5421611288 8132416932 10843222576 16264833864 21008743741 21686445152 32529667728 42017487482 63026231223 65059335456 84034974964 126052462446 168069949928 252104924892 336139899856 504209849784 672279799712 1008419699568 2016839399136