Search a number
-
+
2669426115408 = 243513110947623
BaseRepresentation
bin100110110110000110001…
…100100000001101010000
3100110012020220011222200000
4212312012030200031100
5322213441041143113
65402152321530000
7363600603412563
oct46660614401520
910405226158600
102669426115408
1193a1084a5468
123714294a3900
13164958785430
14932b54404da
1549687d9b373
hex26d86320350

2669426115408 has 240 divisors, whose sum is σ = 8351028416640. Its totient is φ = 820604017152.

The previous prime is 2669426115401. The next prime is 2669426115413. The reversal of 2669426115408 is 8045116249662.

It is a happy number.

2669426115408 is a `hidden beast` number, since 2 + 6 + 6 + 94 + 2 + 6 + 1 + 1 + 540 + 8 = 666.

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 (2669426115401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56029485 + ... + 56077107.

It is an arithmetic number, because the mean of its divisors is an integer number (34795951736).

Almost surely, 22669426115408 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 2669426115408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175514208320).

2669426115408 is an abundant number, since it is smaller than the sum of its proper divisors (5681602301232).

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

2669426115408 is a wasteful number, since it uses less digits than its factorization.

2669426115408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48768 (or 48750 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2669426115408 in words is "two trillion, six hundred sixty-nine billion, four hundred twenty-six million, one hundred fifteen thousand, four hundred eight".