Search a number
-
+
381794227920 = 243357232813907
BaseRepresentation
bin1011000111001001011…
…01011001011011010000
31100111110220012022202000
411203210231121123100
522223403310243140
6451221023154000
736404134251210
oct5434455313320
91314426168660
10381794227920
11137a10985376
1261bb2145900
132a0068b2441
141469c2d0240
159de8445a30
hex58e4b596d0

381794227920 has 640 divisors, whose sum is σ = 1574264954880. Its totient is φ = 83154677760.

The previous prime is 381794227883. The next prime is 381794227957. The reversal of 381794227920 is 29722497183.

It is a happy number.

381794227920 is a `hidden beast` number, since 3 + 81 + 79 + 422 + 79 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (381794227883) and next prime (381794227957).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97718607 + ... + 97722513.

It is an arithmetic number, because the mean of its divisors is an integer number (2459788992).

Almost surely, 2381794227920 is an apocalyptic number.

381794227920 is a gapful number since it is divisible by the number (30) 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 381794227920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787132477440).

381794227920 is an abundant number, since it is smaller than the sum of its proper divisors (1192470726960).

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

381794227920 is a wasteful number, since it uses less digits than its factorization.

381794227920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 381794227920 in words is "three hundred eighty-one billion, seven hundred ninety-four million, two hundred twenty-seven thousand, nine hundred twenty".