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381341372544 = 27321183362569
BaseRepresentation
bin1011000110010011011…
…01111001000010000000
31100110022100001212221200
411203021231321002000
522221441342410134
6451104045021200
736356665120146
oct5431155710200
91313270055850
10381341372544
111377a9299430
1261aa6554800
1329c63b25b92
14146580cb596
159dbd7e1499
hex58c9b79080

381341372544 has 192 divisors, whose sum is σ = 1211534906400. Its totient is φ = 114165411840.

The previous prime is 381341372521. The next prime is 381341372551. The reversal of 381341372544 is 445273143183.

It is a happy number.

381341372544 is a `hidden beast` number, since 3 + 8 + 1 + 34 + 1 + 3 + 72 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 381341372544.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870492 + ... + 1233060.

Almost surely, 2381341372544 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 381341372544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605767453200).

381341372544 is an abundant number, since it is smaller than the sum of its proper divisors (830193533856).

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

381341372544 is a wasteful number, since it uses less digits than its factorization.

381341372544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362683 (or 362668 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 381341372544 in words is "three hundred eighty-one billion, three hundred forty-one million, three hundred seventy-two thousand, five hundred forty-four".