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17381323840 = 265173313969
BaseRepresentation
bin10000001100000000…
…011111010001000000
31122212100000201212211
4100030000133101000
5241044104330330
611552422031504
71153503546346
oct201400372100
948770021784
1017381323840
11740a338951
123450b78594
13183ccc600a
14bac5c1996
156badebd2a
hex40c01f440

17381323840 has 56 divisors (see below), whose sum is σ = 41628654360. Its totient is φ = 6912319488.

The previous prime is 17381323801. The next prime is 17381323891. The reversal of 17381323840 is 4832318371.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6616846336 + 10764477504 = 81344^2 + 103752^2 .

It is a super-2 number, since 2×173813238402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 17381323793 and 17381323802.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101625 + ... + 212344.

Almost surely, 217381323840 is an apocalyptic number.

17381323840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17381323840 is an abundant number, since it is smaller than the sum of its proper divisors (24247330520).

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

17381323840 is a wasteful number, since it uses less digits than its factorization.

17381323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314159 (or 314149 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 17381323840 in words is "seventeen billion, three hundred eighty-one million, three hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 173 320 346 692 865 1384 1730 2768 3460 5536 6920 11072 13840 27680 55360 313969 627938 1255876 1569845 2511752 3139690 5023504 6279380 10047008 12558760 20094016 25117520 50235040 54316637 100470080 108633274 217266548 271583185 434533096 543166370 869066192 1086332740 1738132384 2172665480 3476264768 4345330960 8690661920 17381323840