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380783531328 = 2632937519013
BaseRepresentation
bin1011000101010000111…
…01111001010101000000
31100101212110101121122220
411202220131321111000
522214321041000303
6450532440331040
736340112420004
oct5425035712500
91311773347586
10380783531328
11137542416032
126196b773a80
1329ba539b615
1414603d9a704
159d89850053
hex58a8779540

380783531328 has 112 divisors (see below), whose sum is σ = 1012386713856. Its totient is φ = 126312192000.

The previous prime is 380783531299. The next prime is 380783531393. The reversal of 380783531328 is 823135387083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42243750 + ... + 42252762.

It is an arithmetic number, because the mean of its divisors is an integer number (9039167088).

Almost surely, 2380783531328 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 380783531328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506193356928).

380783531328 is an abundant number, since it is smaller than the sum of its proper divisors (631603182528).

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

380783531328 is a wasteful number, since it uses less digits than its factorization.

380783531328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10072 (or 10062 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 380783531328 in words is "three hundred eighty billion, seven hundred eighty-three million, five hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 293 586 751 879 1172 1502 1758 2253 2344 3004 3516 4506 4688 6008 7032 9012 9013 9376 12016 14064 18024 18026 18752 24032 27039 28128 36048 36052 48064 54078 56256 72096 72104 108156 144192 144208 216312 220043 288416 432624 440086 576832 660129 865248 880172 1320258 1730496 1760344 2640516 2640809 3520688 5281032 5281618 6768763 7041376 7922427 10562064 10563236 13537526 14082752 15844854 20306289 21124128 21126472 27075052 31689708 40612578 42248256 42252944 54150104 63379416 81225156 84505888 108300208 126758832 162450312 169011776 216600416 253517664 324900624 433200832 507035328 649801248 1299602496 1983247559 3966495118 5949742677 7932990236 11899485354 15865980472 23798970708 31731960944 47597941416 63463921888 95195882832 126927843776 190391765664 380783531328