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378385469280 = 253357133161509
BaseRepresentation
bin1011000000110011000…
…10000000111101100000
31100011200100000102222000
411200121202000331200
522144413140004110
6445454453444000
736223513264320
oct5403142007540
91304610012860
10378385469280
11136521807575
1261400640600
13298b2610ab0
14144576c3280
159c9905d1c0
hex5819880f60

378385469280 has 1536 divisors, whose sum is σ = 1713490329600. Its totient is φ = 75843993600.

The previous prime is 378385469269. The next prime is 378385469291. The reversal of 378385469280 is 82964583873.

378385469280 is a `hidden beast` number, since 3 + 7 + 8 + 3 + 8 + 546 + 9 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (378385469269) and next prime (378385469291).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 743389666 + ... + 743390174.

It is an arithmetic number, because the mean of its divisors is an integer number (1115553600).

Almost surely, 2378385469280 is an apocalyptic number.

378385469280 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 378385469280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856745164800).

378385469280 is an abundant number, since it is smaller than the sum of its proper divisors (1335104860320).

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

378385469280 is a wasteful number, since it uses less digits than its factorization.

378385469280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 378385469280 in words is "three hundred seventy-eight billion, three hundred eighty-five million, four hundred sixty-nine thousand, two hundred eighty".