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2109302784 = 21132192317
BaseRepresentation
bin111110110111001…
…0110100000000000
312110000000200110100
41331232112200000
513304440142114
6545145402400
7103161530541
oct17556264000
95400020410
102109302784
11992712446
124aa499400
13277cc7274
141601cc4c8
15c52a3909
hex7db96800

2109302784 has 216 divisors, whose sum is σ = 6449846130. Its totient is φ = 663994368.

The previous prime is 2109302749. The next prime is 2109302831. The reversal of 2109302784 is 4872039012.

It can be written as a sum of positive squares in only one way, i.e., 2079360000 + 29942784 = 45600^2 + 5472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6653794 + ... + 6654110.

Almost surely, 22109302784 is an apocalyptic number.

2109302784 is a gapful number since it is divisible by the number (24) 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 2109302784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224923065).

2109302784 is an abundant number, since it is smaller than the sum of its proper divisors (4340543346).

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

2109302784 is a wasteful number, since it uses less digits than its factorization.

2109302784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2109302784 is about 45927.1464822277. The cubic root of 2109302784 is about 1282.4673242704.

The spelling of 2109302784 in words is "two billion, one hundred nine million, three hundred two thousand, seven hundred eighty-four".