Search a number
-
+
2969680896 = 210327133541
BaseRepresentation
bin1011000100000001…
…1011110000000000
321122221222102100100
42301000123300000
522040214242041
61210402322400
7133406604540
oct26100336000
97587872310
102969680896
111294342236
126aa659400
1338432a240
14202593320
15125aa56b6
hexb101bc00

2969680896 has 264 divisors, whose sum is σ = 10556690144. Its totient is φ = 782991360.

The previous prime is 2969680817. The next prime is 2969680897. The reversal of 2969680896 is 6980869692.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2969680897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836886 + ... + 840426.

Almost surely, 22969680896 is an apocalyptic number.

2969680896 is a gapful number since it is divisible by the number (26) 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 2969680896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278345072).

2969680896 is an abundant number, since it is smaller than the sum of its proper divisors (7587009248).

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

2969680896 is a wasteful number, since it uses less digits than its factorization.

2969680896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The square root of 2969680896 is about 54494.7786122671. The cubic root of 2969680896 is about 1437.3744750985.

It can be divided in two parts, 29696 and 80896, that added together give a cube (110592 = 483).

The spelling of 2969680896 in words is "two billion, nine hundred sixty-nine million, six hundred eighty thousand, eight hundred ninety-six".