Search a number
-
+
2975244201900 = 2235521912750741
BaseRepresentation
bin101011010010111010010…
…111111010111110101100
3101112102121212212102200000
4223102322113322332230
5342221300003430100
610154450332504300
7424645216305435
oct53227227727654
911472555772600
102975244201900
11a47880873203
1240075731b090
13187744a88c69
14a400715a48c
15525d620c900
hex2b4ba5fafac

2975244201900 has 432 divisors, whose sum is σ = 10260503285760. Its totient is φ = 745707513600.

The previous prime is 2975244201871. The next prime is 2975244201907. The reversal of 2975244201900 is 91024425792.

2975244201900 is a `hidden beast` number, since 2 + 97 + 52 + 4 + 420 + 1 + 90 + 0 = 666.

It is a super-3 number, since 3×29752442019003 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (2975244201907) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58610530 + ... + 58661270.

Almost surely, 22975244201900 is an apocalyptic number.

2975244201900 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 2975244201900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130251642880).

2975244201900 is an abundant number, since it is smaller than the sum of its proper divisors (7285259083860).

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

2975244201900 is a wasteful number, since it uses less digits than its factorization.

2975244201900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50916 (or 50897 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2975244201900 in words is "two trillion, nine hundred seventy-five billion, two hundred forty-four million, two hundred one thousand, nine hundred".