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383397025248 = 25351031732767
BaseRepresentation
bin1011001010001000011…
…11100101010111100000
31100122121121010212100000
411211010033211113200
522240144114301443
6452044040500000
736461635641546
oct5450417452740
91318547125300
10383397025248
11138663697766
126237aa7a600
132a200987523
14147b1111d96
159e8dee88d3
hex59443e55e0

383397025248 has 288 divisors, whose sum is σ = 1148657642496. Its totient is φ = 125781216768.

The previous prime is 383397025223. The next prime is 383397025259. The reversal of 383397025248 is 842520793383.

383397025248 is a `hidden beast` number, since 3 + 8 + 3 + 397 + 0 + 2 + 5 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 383397025194 and 383397025203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138559161 + ... + 138561927.

It is an arithmetic number, because the mean of its divisors is an integer number (3988394592).

Almost surely, 2383397025248 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 383397025248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574328821248).

383397025248 is an abundant number, since it is smaller than the sum of its proper divisors (765260617248).

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

383397025248 is a wasteful number, since it uses less digits than its factorization.

383397025248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 383397025248 in words is "three hundred eighty-three billion, three hundred ninety-seven million, twenty-five thousand, two hundred forty-eight".