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380371663584 = 25351131373877
BaseRepresentation
bin1011000100011111110…
…10101111101011100000
31100100210202101120100000
411202033322233223200
522213000121213314
6450423524500000
736323651536263
oct5421772575340
91310722346300
10380371663584
11137350984770
126187584a600
1329b3ac632b3
14145a53c6cda
159d635e5209
hex588feafae0

380371663584 has 576 divisors, whose sum is σ = 1297670879232. Its totient is φ = 108503193600.

The previous prime is 380371663487. The next prime is 380371663589. The reversal of 380371663584 is 485366173083.

It is a super-3 number, since 3×3803716635843 (a number of 36 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 380371663584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380371663589) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98107854 + ... + 98111730.

It is an arithmetic number, because the mean of its divisors is an integer number (2252900832).

Almost surely, 2380371663584 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 380371663584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648835439616).

380371663584 is an abundant number, since it is smaller than the sum of its proper divisors (917299215648).

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

380371663584 is a wasteful number, since it uses less digits than its factorization.

380371663584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3961 counting only the distinct ones).

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

The spelling of 380371663584 in words is "three hundred eighty billion, three hundred seventy-one million, six hundred sixty-three thousand, five hundred eighty-four".