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380693454336 = 293313173532
BaseRepresentation
bin1011000101000110001…
…10010001111000000000
31100101122011220020021000
411202203012101320000
522214130011014321
6450515501532000
736334636653606
oct5424306217000
91311564806230
10380693454336
111374a6591938
1261945574000
1329b8c820620
14145d602d876
159d819aa826
hex58a3191e00

380693454336 has 480 divisors, whose sum is σ = 1288598461920. Its totient is φ = 109933756416.

The previous prime is 380693454331. The next prime is 380693454347. The reversal of 380693454336 is 633454396083.

It is a happy number.

380693454336 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 93 + 4 + 543 + 3 + 6 = 666.

It is a super-2 number, since 2×3806934543362 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380693454331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078451536 + ... + 1078451888.

It is an arithmetic number, because the mean of its divisors is an integer number (2684580129).

Almost surely, 2380693454336 is an apocalyptic number.

380693454336 is a gapful number since it is divisible by the number (36) 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 380693454336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644299230960).

380693454336 is an abundant number, since it is smaller than the sum of its proper divisors (907905007584).

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

380693454336 is an equidigital number, since it uses as much as digits as its factorization.

380693454336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 380693454336 in words is "three hundred eighty billion, six hundred ninety-three million, four hundred fifty-four thousand, three hundred thirty-six".