Search a number
-
+
2097698808000 = 263532313129009
BaseRepresentation
bin11110100001101000100…
…101111010000011000000
321102112112020101112020110
4132201220211322003000
5233332041343324000
64243400341311320
7304360634446005
oct36415045720300
97375466345213
102097698808000
117396a1321314
1229a66b105540
13122a733a2233
147375a0518ac
15398751ac850
hex1e86897a0c0

2097698808000 has 448 divisors, whose sum is σ = 7283182832640. Its totient is φ = 530962432000.

The previous prime is 2097698807983. The next prime is 2097698808017. The reversal of 2097698808000 is 8088967902.

It is an interprime number because it is at equal distance from previous prime (2097698807983) and next prime (2097698808017).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72297496 + ... + 72326504.

Almost surely, 22097698808000 is an apocalyptic number.

2097698808000 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 2097698808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641591416320).

2097698808000 is an abundant number, since it is smaller than the sum of its proper divisors (5185484024640).

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

2097698808000 is a wasteful number, since it uses less digits than its factorization.

2097698808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29193 (or 29173 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 2097698808000 in words is "two trillion, ninety-seven billion, six hundred ninety-eight million, eight hundred eight thousand".