Search a number
-
+
24200113142196 = 223717934317417
BaseRepresentation
bin1011000000010100001110…
…01001011011100110110100
310011200111201111100010000000
411200022013021123212310
511132443312431022241
6123245213431151300
75045254235461455
oct540120711334664
9104614644303000
1024200113142196
117790234a78252
12286a188b15530
1310670a3993c84
145d94126d112c
152be7791b3eb6
hex16028725b9b4

24200113142196 has 192 divisors, whose sum is σ = 67262887157760. Its totient is φ = 7590943890432.

The previous prime is 24200113142143. The next prime is 24200113142197. The reversal of 24200113142196 is 69124131100242.

24200113142196 is a `hidden beast` number, since 2 + 420 + 0 + 1 + 1 + 3 + 1 + 42 + 196 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 24200113142196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24200113142197) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1389444880 + ... + 1389462296.

It is an arithmetic number, because the mean of its divisors is an integer number (350327537280).

Almost surely, 224200113142196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24200113142196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33631443578880).

24200113142196 is an abundant number, since it is smaller than the sum of its proper divisors (43062774015564).

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

24200113142196 is a wasteful number, since it uses less digits than its factorization.

24200113142196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26802 (or 26782 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 24200113142196 in words is "twenty-four trillion, two hundred billion, one hundred thirteen million, one hundred forty-two thousand, one hundred ninety-six".