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17290940040 = 233251117419613
BaseRepresentation
bin10000000110100111…
…101100111010001000
31122122000221202121200
4100012213230322020
5240402440040130
611535432504200
71151325364623
oct200647547210
948560852550
1017290940040
1173733151a0
12342684b060
13182736b48a
14ba05b4dba
156b2ee6760
hex4069ece88

17290940040 has 384 divisors, whose sum is σ = 65171433600. Its totient is φ = 3929333760.

The previous prime is 17290939927. The next prime is 17290940119. The reversal of 17290940040 is 4004909271.

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

It is a junction number, because it is equal to n+sod(n) for n = 17290939977 and 17290940004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28206774 + ... + 28207386.

It is an arithmetic number, because the mean of its divisors is an integer number (169717275).

Almost surely, 217290940040 is an apocalyptic number.

17290940040 is a gapful number since it is divisible by the number (10) 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 17290940040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32585716800).

17290940040 is an abundant number, since it is smaller than the sum of its proper divisors (47880493560).

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

17290940040 is a wasteful number, since it uses less digits than its factorization.

17290940040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 17290940040 in words is "seventeen billion, two hundred ninety million, nine hundred forty thousand, forty".