Search a number
-
+
2684402688 = 2103111937113
BaseRepresentation
bin1010000000000000…
…1011110000000000
320221002011210012210
42200000023300000
520444201341223
61122212022120
7123344021622
oct24000136000
96832153183
102684402688
111158303520
1262b001940
1333a1b5276
141b6732c12
1510aa03893
hexa000bc00

2684402688 has 352 divisors, whose sum is σ = 8512899840. Its totient is φ = 743178240.

The previous prime is 2684402687. The next prime is 2684402689. The reversal of 2684402688 is 8862044862.

It is an interprime number because it is at equal distance from previous prime (2684402687) and next prime (2684402689).

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684402687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23755720 + ... + 23755832.

Almost surely, 22684402688 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 2684402688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256449920).

2684402688 is an abundant number, since it is smaller than the sum of its proper divisors (5828497152).

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

2684402688 is a wasteful number, since it uses less digits than its factorization.

2684402688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 2684402688 is about 51811.2216416483. The cubic root of 2684402688 is about 1389.7901254821.

The spelling of 2684402688 in words is "two billion, six hundred eighty-four million, four hundred two thousand, six hundred eighty-eight".