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2097691123200 = 29352409913327
BaseRepresentation
bin11110100001101000001…
…000100101111000000000
321102112111200221002200020
4132201220020211320000
5233332032411420300
64243355504453440
7304360512231231
oct36415010457000
97375450832606
102097691123200
11739697a52642
1229a66861a280
13122a7191140a
1473759011088
15398746908a0
hex1e868225e00

2097691123200 has 240 divisors, whose sum is σ = 6931802169600. Its totient is φ = 559205867520.

The previous prime is 2097691123193. The next prime is 2097691123237. The reversal of 2097691123200 is 23211967902.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157394937 + ... + 157408263.

It is an arithmetic number, because the mean of its divisors is an integer number (28882509040).

Almost surely, 22097691123200 is an apocalyptic number.

2097691123200 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 2097691123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465901084800).

2097691123200 is an abundant number, since it is smaller than the sum of its proper divisors (4834111046400).

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

2097691123200 is a wasteful number, since it uses less digits than its factorization.

2097691123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17457 (or 17436 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 2097691123200 in words is "two trillion, ninety-seven billion, six hundred ninety-one million, one hundred twenty-three thousand, two hundred".