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2139449312 = 257111366791
BaseRepresentation
bin111111110000101…
…0110011111100000
312112002202021201102
41333201112133200
513340144334222
6552143453532
7104006006360
oct17741263740
95462667642
102139449312
119a8732a30
124b85b72a8
13281320b50
141641d89a0
15c7c5ad92
hex7f8567e0

2139449312 has 96 divisors (see below), whose sum is σ = 5655412224. Its totient is φ = 769420800.

The previous prime is 2139449311. The next prime is 2139449317.

2139449312 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139449311) 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, 1364 + ... + 65427.

It is an arithmetic number, because the mean of its divisors is an integer number (58910544).

Almost surely, 22139449312 is an apocalyptic number.

2139449312 is a gapful number since it is divisible by the number (22) 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 2139449312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827706112).

2139449312 is an abundant number, since it is smaller than the sum of its proper divisors (3515962912).

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

2139449312 is a wasteful number, since it uses less digits than its factorization.

2139449312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66832 (or 66824 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 2139449312 is about 46254.1815623193. The cubic root of 2139449312 is about 1288.5481958465.

The spelling of 2139449312 in words is "two billion, one hundred thirty-nine million, four hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 8008 16016 32032 66791 133582 267164 467537 534328 734701 868283 935074 1068656 1469402 1736566 1870148 2137312 2938804 3473132 3740296 5142907 5877608 6077981 6946264 7480592 9551113 10285814 11755216 12155962 13892528 14961184 19102226 20571628 23510432 24311924 27785056 38204452 41143256 48623848 66857791 76408904 82286512 97247696 133715582 152817808 164573024 194495392 267431164 305635616 534862328 1069724656 2139449312