Search a number
-
+
20692398000 = 2435337831123
BaseRepresentation
bin10011010001010111…
…001110111110110000
31222102002101201202010
4103101113032332300
5314334223214000
613301141522520
71331530323651
oct232127167660
958362351663
1020692398000
11885935697a
124015a13440
131c49c84ab1
141004241528
1581193ad50
hex4d15cefb0

20692398000 has 320 divisors, whose sum is σ = 69402557952. Its totient is φ = 5299430400.

The previous prime is 20692397983. The next prime is 20692398053. The reversal of 20692398000 is 89329602.

It is a super-3 number, since 3×206923980003 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20692398000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18425439 + ... + 18426561.

Almost surely, 220692398000 is an apocalyptic number.

20692398000 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 20692398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34701278976).

20692398000 is an abundant number, since it is smaller than the sum of its proper divisors (48710159952).

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

20692398000 is a wasteful number, since it uses less digits than its factorization.

20692398000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 20692398000 in words is "twenty billion, six hundred ninety-two million, three hundred ninety-eight thousand".