Search a number
-
+
2193978329550 = 233527243839293
BaseRepresentation
bin11111111011010011010…
…011001000100111001110
321202202001010021222112000
4133323103103020213032
5241421231423021200
64355522201453130
7314336554046400
oct37732323104716
97682033258460
102193978329550
1177650862a937
122b525aaa11a6
1312bb7816ac27
1478290d20b70
153c10c988300
hex1fed34c89ce

2193978329550 has 576 divisors, whose sum is σ = 7283706312960. Its totient is φ = 483864917760.

The previous prime is 2193978329503. The next prime is 2193978329603. The reversal of 2193978329550 is 559238793912.

2193978329550 is a `hidden beast` number, since 2 + 1 + 9 + 3 + 9 + 78 + 3 + 2 + 9 + 550 = 666.

It is a super-3 number, since 3×21939783295503 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 236084704 + ... + 236093996.

It is an arithmetic number, because the mean of its divisors is an integer number (12645323460).

Almost surely, 22193978329550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2193978329550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641853156480).

2193978329550 is an abundant number, since it is smaller than the sum of its proper divisors (5089727983410).

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

2193978329550 is a wasteful number, since it uses less digits than its factorization.

2193978329550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9454 (or 9436 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 2193978329550 in words is "two trillion, one hundred ninety-three billion, nine hundred seventy-eight million, three hundred twenty-nine thousand, five hundred fifty".