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2139889312 = 251134917419
BaseRepresentation
bin111111110001100…
…0001111010100000
312112010120122021201
41333203001322200
513340302424222
6552201130544
7104012521231
oct17743017240
95463518251
102139889312
119a8a03570
124b8789a54
132814461c2
141642b1088
15c7ce6427
hex7f8c1ea0

2139889312 has 48 divisors (see below), whose sum is σ = 4609332000. Its totient is φ = 969834240.

The previous prime is 2139889309. The next prime is 2139889313.

2139889312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21398893122 = 9158252535223666688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2139889313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114139 + ... + 131557.

It is an arithmetic number, because the mean of its divisors is an integer number (96027750).

Almost surely, 22139889312 is an apocalyptic number.

2139889312 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 2139889312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304666000).

2139889312 is an abundant number, since it is smaller than the sum of its proper divisors (2469442688).

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

2139889312 is a wasteful number, since it uses less digits than its factorization.

2139889312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17789 (or 17781 counting only the distinct ones).

The product of its digits is 186624, while the sum is 46.

The square root of 2139889312 is about 46258.9376445244. The cubic root of 2139889312 is about 1288.6365242371.

The spelling of 2139889312 in words is "two billion, one hundred thirty-nine million, eight hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 349 352 698 1396 2792 3839 5584 7678 11168 15356 17419 30712 34838 61424 69676 122848 139352 191609 278704 383218 557408 766436 1532872 3065744 6079231 6131488 12158462 24316924 48633848 66871541 97267696 133743082 194535392 267486164 534972328 1069944656 2139889312