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2602002116 = 22741715937
BaseRepresentation
bin1001101100010111…
…0110011011000100
320201100010101212202
42123011312123010
520312103031431
61110105534032
7121323440000
oct23305663304
96640111782
102602002116
11111584277a
126074a4318
133260c432c
141a9803700
151036788cb
hex9b1766c4

2602002116 has 60 divisors (see below), whose sum is σ = 5624934588. Its totient is φ = 1049481216.

The previous prime is 2602002083. The next prime is 2602002127. The reversal of 2602002116 is 6112002062.

It is a happy number.

2602002116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1927561216 + 674440900 = 43904^2 + 25970^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 155300 + ... + 171236.

Almost surely, 22602002116 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 2602002116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812467294).

2602002116 is an abundant number, since it is smaller than the sum of its proper divisors (3022932472).

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

2602002116 is a wasteful number, since it uses less digits than its factorization.

2602002116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15986 (or 15963 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2602002116 is about 51009.8237205345. The cubic root of 2602002116 is about 1375.4217313082.

Adding to 2602002116 its reverse (6112002062), we get a palindrome (8714004178).

The spelling of 2602002116 in words is "two billion, six hundred two million, two thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 343 476 686 833 1372 1666 2401 3332 4802 5831 9604 11662 15937 23324 31874 40817 63748 81634 111559 163268 223118 270929 446236 541858 780913 1083716 1561826 1896503 3123652 3793006 5466391 7586012 10932782 13275521 21865564 26551042 38264737 53102084 76529474 92928647 153058948 185857294 371714588 650500529 1301001058 2602002116