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17140831928 = 2311271461541
BaseRepresentation
bin11111111011010110…
…00101011010111000
31122020120111110222222
433331223011122320
5240101023110203
611512511303212
71144523444633
oct177553053270
948216443888
1017140831928
1172a6609800
1233a451ab08
1318022322cc
14b8869cc1a
156a4c45038
hex3fdac56b8

17140831928 has 96 divisors (see below), whose sum is σ = 35968030560. Its totient is φ = 7650720000.

The previous prime is 17140831847. The next prime is 17140831933. The reversal of 17140831928 is 82913804171.

It is a Cunningham number, because it is equal to 1309232-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31683338 + ... + 31683878.

It is an arithmetic number, because the mean of its divisors is an integer number (374666985).

Almost surely, 217140831928 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 17140831928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17984015280).

17140831928 is an abundant number, since it is smaller than the sum of its proper divisors (18827198632).

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

17140831928 is a wasteful number, since it uses less digits than its factorization.

17140831928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The spelling of 17140831928 in words is "seventeen billion, one hundred forty million, eight hundred thirty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 71 88 121 142 242 284 461 484 541 568 781 922 968 1082 1562 1844 2164 3124 3688 4328 5071 5951 6248 8591 10142 11902 17182 20284 23804 32731 34364 38411 40568 47608 55781 65461 65462 68728 76822 111562 130922 130924 153644 223124 249401 261844 261848 307288 360041 422521 446248 498802 523688 720082 845042 997604 1440164 1690084 1995208 2743411 2880328 3380168 3960451 4647731 5486822 7920902 9295462 10973644 15841804 17707471 18590924 21947288 30177521 31683608 35414942 37181848 60355042 70829884 120710084 141659768 194782181 241420168 389564362 779128724 1558257448 2142603991 4285207982 8570415964 17140831928