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380412162720 = 25335127693373
BaseRepresentation
bin1011000100100100101…
…01001111001010100000
31100100220120121010201000
411202102111033022200
522213041003201340
6450431532512000
736324653013462
oct5422225171240
91310816533630
10380412162720
11137371826327
126188731b600
1329b46473095
14145aa92a132
159d66e44d30
hex589254f2a0

380412162720 has 192 divisors, whose sum is σ = 1341928304640. Its totient is φ = 100644332544.

The previous prime is 380412162701. The next prime is 380412162721. The reversal of 380412162720 is 27261214083.

It is a happy number.

380412162720 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 1 + 2 + 1 + 627 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (380412162721) 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, 201954 + ... + 895326.

It is an arithmetic number, because the mean of its divisors is an integer number (6989209920).

Almost surely, 2380412162720 is an apocalyptic number.

380412162720 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 380412162720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670964152320).

380412162720 is an abundant number, since it is smaller than the sum of its proper divisors (961516141920).

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

380412162720 is a wasteful number, since it uses less digits than its factorization.

380412162720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693524 (or 693510 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 380412162720 in words is "three hundred eighty billion, four hundred twelve million, one hundred sixty-two thousand, seven hundred twenty".