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380341204992 = 21137721733
BaseRepresentation
bin1011000100011100001…
…10100011100000000000
31100100201122002010000000
411202032012203200000
522212414322024432
6450420520000000
736323131620600
oct5421606434000
91310648063000
10380341204992
11137335770781
1261867600000
1329b3485a668
14145a1338c00
159d60aca57c
hex588e1a3800

380341204992 has 576 divisors, whose sum is σ = 1327552480800. Its totient is φ = 108606210048.

The previous prime is 380341204973. The next prime is 380341205017. The reversal of 380341204992 is 299402143083.

380341204992 is a `hidden beast` number, since 3 + 8 + 0 + 34 + 120 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219468958 + ... + 219470690.

Almost surely, 2380341204992 is an apocalyptic number.

380341204992 is a gapful number since it is divisible by the number (32) 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 380341204992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663776240400).

380341204992 is an abundant number, since it is smaller than the sum of its proper divisors (947211275808).

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

380341204992 is an frugal number, since it uses more digits than its factorization.

380341204992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 380341204992 in words is "three hundred eighty billion, three hundred forty-one million, two hundred four thousand, nine hundred ninety-two".