Search a number
-
+
2070097423888 = 241337289792849
BaseRepresentation
bin11110000111111011011…
…010111110111000010000
321022220021122111221021211
4132013323122332320100
5232404024420031023
64222553432025504
7302362641530254
oct36077332767020
97286248457254
102070097423888
11728a1803496a
12295247532294
13120294c2caa0
147229c3c6264
1538cabe34a0d
hex1e1fb6bee10

2070097423888 has 80 divisors (see below), whose sum is σ = 4437655815600. Its totient is φ = 929276264448.

The previous prime is 2070097423873. The next prime is 2070097423903. The reversal of 2070097423888 is 8883247900702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2070097423873) and next prime (2070097423903).

It can be written as a sum of positive squares in 8 ways, for example, as 171621289984 + 1898476133904 = 414272^2 + 1377852^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22248888 + ... + 22341736.

It is an arithmetic number, because the mean of its divisors is an integer number (55470697695).

Almost surely, 22070097423888 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 2070097423888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218827907800).

2070097423888 is an abundant number, since it is smaller than the sum of its proper divisors (2367558391712).

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

2070097423888 is a wasteful number, since it uses less digits than its factorization.

2070097423888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95804 (or 95798 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 58.

The spelling of 2070097423888 in words is "two trillion, seventy billion, ninety-seven million, four hundred twenty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 2897 3848 5794 7696 11588 23176 37661 46352 75322 92849 107189 150644 185698 214378 301288 371396 428756 602576 742792 857512 1207037 1393457 1485584 1715024 2414074 2786914 3435413 4828148 5573828 6870826 9656296 11147656 13741652 19312592 22295312 27483304 44660369 54966608 89320738 178641476 268983553 357282952 537967106 714565904 1075934212 2151868424 3496786189 4303736848 6993572378 9952391461 13987144756 19904782922 27974289512 39809565844 55948579024 79619131688 129381088993 159238263376 258762177986 517524355972 1035048711944 2070097423888