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380617895680 = 28511232714337
BaseRepresentation
bin1011000100111101001…
…10000010111100000000
31100101102220201110021021
411202132212002330000
522214001140130210
6450504202235224
736333031506151
oct5423646027400
91311386643237
10380617895680
11137467974570
12619241b5b14
1329b79c86969
14145c9da1928
159d7a032bda
hex589e982f00

380617895680 has 288 divisors, whose sum is σ = 1041892927488. Its totient is φ = 131869900800.

The previous prime is 380617895659. The next prime is 380617895687. The reversal of 380617895680 is 86598716083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380617895687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87758472 + ... + 87762808.

It is an arithmetic number, because the mean of its divisors is an integer number (3617683776).

Almost surely, 2380617895680 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 380617895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520946463744).

380617895680 is an abundant number, since it is smaller than the sum of its proper divisors (661275031808).

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

380617895680 is a wasteful number, since it uses less digits than its factorization.

380617895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 380617895680 in words is "three hundred eighty billion, six hundred seventeen million, eight hundred ninety-five thousand, six hundred eighty".