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2099779902 = 2331126313441
BaseRepresentation
bin111110100101000…
…0001100100111110
312102100002212112000
41331022001210332
513300020424102
6544205323130
7103014556203
oct17512014476
95370085460
102099779902
119882a87a0
124a72664a6
1327604191c
1415cc2dcaa
15c452201c
hex7d28193e

2099779902 has 64 divisors (see below), whose sum is σ = 5110110720. Its totient is φ = 633830400.

The previous prime is 2099779901. The next prime is 2099779909.

2099779902 is nontrivially palindromic in base 10.

2099779902 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099779901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149502 + ... + 162942.

It is an arithmetic number, because the mean of its divisors is an integer number (79845480).

Almost surely, 22099779902 is an apocalyptic number.

2099779902 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2099779902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555055360).

2099779902 is an abundant number, since it is smaller than the sum of its proper divisors (3010330818).

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

2099779902 is a wasteful number, since it uses less digits than its factorization.

2099779902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13726 (or 13720 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 2099779902 is about 45823.3554205713. The cubic root of 2099779902 is about 1280.5344248668.

The spelling of 2099779902 in words is "two billion, ninety-nine million, seven hundred seventy-nine thousand, nine hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 263 297 526 594 789 1578 2367 2893 4734 5786 7101 8679 13441 14202 17358 26037 26882 40323 52074 78111 80646 120969 147851 156222 241938 295702 362907 443553 725814 887106 1330659 2661318 3534983 3991977 7069966 7983954 10604949 21209898 31814847 38884813 63629694 77769626 95444541 116654439 190889082 233308878 349963317 699926634 1049889951 2099779902