Search a number
-
+
2051292499200 = 283252723221197
BaseRepresentation
bin11101110110011010100…
…011111000110100000000
321021002202002201210011200
4131312122203320310000
5232102021334433300
64210203433141200
7301125640361040
oct35663243706400
97232662653150
102051292499200
11720a4815869a
1229167985a800
1311b589013c09
14713d6b0b720
153855b080200
hex1dd9a8f8d00

2051292499200 has 648 divisors, whose sum is σ = 8745977804928. Its totient is φ = 448479313920.

The previous prime is 2051292499187. The next prime is 2051292499283. The reversal of 2051292499200 is 29942921502.

It is a happy number.

2051292499200 is a `hidden beast` number, since 2 + 0 + 51 + 2 + 92 + 499 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9163002 + ... + 9384198.

Almost surely, 22051292499200 is an apocalyptic number.

2051292499200 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 2051292499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372988902464).

2051292499200 is an abundant number, since it is smaller than the sum of its proper divisors (6694685305728).

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

2051292499200 is a wasteful number, since it uses less digits than its factorization.

2051292499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221259 (or 221237 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 2051292499200 in words is "two trillion, fifty-one billion, two hundred ninety-two million, four hundred ninety-nine thousand, two hundred".