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381243608200 = 235273131725147
BaseRepresentation
bin1011000110000111110…
…00111100110010001000
31100110001112002221111001
411203003320330302020
522221241330430300
6451050233344344
736354400126000
oct5430370746210
91313045087431
10381243608200
11137759094654
1261a798680b4
1329c497b5b60
141464911d000
159db4e2e16a
hex58c3e3cc88

381243608200 has 384 divisors, whose sum is σ = 1178737056000. Its totient is φ = 113555312640.

The previous prime is 381243608167. The next prime is 381243608201. The reversal of 381243608200 is 2806342183.

It is a self number, because there is not a number n which added to its sum of digits gives 381243608200.

It is not an unprimeable number, because it can be changed into a prime (381243608201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15148027 + ... + 15173173.

It is an arithmetic number, because the mean of its divisors is an integer number (3069627750).

Almost surely, 2381243608200 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 381243608200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589368528000).

381243608200 is an abundant number, since it is smaller than the sum of its proper divisors (797493447800).

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

381243608200 is a wasteful number, since it uses less digits than its factorization.

381243608200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25214 (or 25191 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 381243608200 in words is "three hundred eighty-one billion, two hundred forty-three million, six hundred eight thousand, two hundred".