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381818880000 = 21433541381
BaseRepresentation
bin1011000111001100010…
…11011100000000000000
31100111112121120210001000
411203212023130000000
522223431113130000
6451223303412000
736404553634155
oct5434613340000
91314477523030
10381818880000
11137a23892898
1261bba454000
132a00ba3417c
14146a16aa22c
159dea6b5000
hex58e62dc000

381818880000 has 600 divisors, whose sum is σ = 1414671972560. Its totient is φ = 101744640000.

The previous prime is 381818879971. The next prime is 381818880011. The reversal of 381818880000 is 88818183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 276479310 + ... + 276480690.

Almost surely, 2381818880000 is an apocalyptic number.

381818880000 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 381818880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707335986280).

381818880000 is an abundant number, since it is smaller than the sum of its proper divisors (1032853092560).

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

381818880000 is an frugal number, since it uses more digits than its factorization.

381818880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 381818880000 in words is "three hundred eighty-one billion, eight hundred eighteen million, eight hundred eighty thousand".