Search a number
-
+
2097653995584 = 2632723722332
BaseRepresentation
bin11110100001100101111…
…010111101100001000000
321102112102010001211011100
4132201211322331201000
5233331443410324314
64243352101014400
7304356551525400
oct36414572754100
97375363054140
102097653995584
11739678aa4064
1229a6580b4400
13122a67012104
1473754108800
15398712a9c09
hex1e865ebd840

2097653995584 has 567 divisors, whose sum is σ = 7219311317127. Its totient is φ = 580628901888.

The previous prime is 2097653995579. The next prime is 2097653995589. The reversal of 2097653995584 is 4855993567902.

It is a happy number.

The square root of 2097653995584 is 1448328.

It is a perfect power (a square), and thus also a powerful number.

2097653995584 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 6 + 5 + 39 + 9 + 5 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (2097653995579) and next prime (2097653995589).

It can be written as a sum of positive squares in 4 ways, for example, as 39232517184 + 2058421478400 = 198072^2 + 1434720^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2097653995589) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9002806732 + ... + 9002806964.

Almost surely, 22097653995584 is an apocalyptic number.

2097653995584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2097653995584 is the 1448328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097653995584

2097653995584 is an abundant number, since it is smaller than the sum of its proper divisors (5121657321543).

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

2097653995584 is an equidigital number, since it uses as much as digits as its factorization.

2097653995584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 2097653995584 in words is "two trillion, ninety-seven billion, six hundred fifty-three million, nine hundred ninety-five thousand, five hundred eighty-four".