Search a number
-
+
69869820240 = 243351119374789
BaseRepresentation
bin100000100010010010…
…0001101100101010000
320200100100101121211000
41001010210031211100
52121043133221430
652033040422000
75022303446553
oct1010444154520
9220310347730
1069869820240
11276a47680a0
121165b317900
1367864980cc
14354b60a69a
151c3de98e60
hex104490d950

69869820240 has 1280 divisors, whose sum is σ = 293124096000. Its totient is φ = 15109079040.

The previous prime is 69869820211. The next prime is 69869820253. The reversal of 69869820240 is 4202896896.

It is a happy number.

It is a Cunningham number, because it is equal to 2643292-1.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 785054116 + ... + 785054204.

It is an arithmetic number, because the mean of its divisors is an integer number (229003200).

Almost surely, 269869820240 is an apocalyptic number.

69869820240 is a gapful number since it is divisible by the number (60) 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 69869820240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146562048000).

69869820240 is an abundant number, since it is smaller than the sum of its proper divisors (223254275760).

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

69869820240 is a wasteful number, since it uses less digits than its factorization.

69869820240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 69869820240 in words is "sixty-nine billion, eight hundred sixty-nine million, eight hundred twenty thousand, two hundred forty".