Search a number
-
+
20634591587040 = 25325171997601761
BaseRepresentation
bin1001011000100010111011…
…00000000110101011100000
32201001122111011111020211100
410230101131200012223200
510201034120421241130
6111515222302114400
74226541262351614
oct454213540065340
981048434436740
1020634591587040
11663609900a9a2
122393156b7ba00
13b68aab669232
14514a10697344
1525bb469acc60
hex12c45d806ae0

20634591587040 has 1152 divisors, whose sum is σ = 79527108286080. Its totient is φ = 4841275392000.

The previous prime is 20634591587039. The next prime is 20634591587041. The reversal of 20634591587040 is 4078519543602.

It is a happy number.

20634591587040 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 4 + 59 + 1 + 587 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20634591587039) and next prime (20634591587041).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20634591587041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27115100260 + ... + 27115101020.

It is an arithmetic number, because the mean of its divisors is an integer number (69033948165).

It is a 1-persistent number, because it is pandigital, but 2⋅20634591587040 = 41269183174080 is not.

Almost surely, 220634591587040 is an apocalyptic number.

20634591587040 is a gapful number since it is divisible by the number (20) 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 20634591587040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39763554143040).

20634591587040 is an abundant number, since it is smaller than the sum of its proper divisors (58892516699040).

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

20634591587040 is a wasteful number, since it uses less digits than its factorization.

20634591587040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 20634591587040 in words is "twenty trillion, six hundred thirty-four billion, five hundred ninety-one million, five hundred eighty-seven thousand, forty".