Search a number
-
+
17039396832 = 2532914941077
BaseRepresentation
bin11111101111010000…
…01000111111100000
31121222111122001012120
433313220020333200
5234344041144312
611454445224240
71142152324533
oct176750107740
947874561176
1017039396832
117254328047
123376562080
1317b7208543
14b79016a1a
1569adaa28c
hex3f7a08fe0

17039396832 has 96 divisors (see below), whose sum is σ = 46582452000. Its totient is φ = 5447006208.

The previous prime is 17039396827. The next prime is 17039396879. The reversal of 17039396832 is 23869393071.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394278 + ... + 435354.

It is an arithmetic number, because the mean of its divisors is an integer number (485233875).

Almost surely, 217039396832 is an apocalyptic number.

17039396832 is a gapful number since it is divisible by the number (12) 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 17039396832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23291226000).

17039396832 is an abundant number, since it is smaller than the sum of its proper divisors (29543055168).

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

17039396832 is a wasteful number, since it uses less digits than its factorization.

17039396832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41268 (or 41260 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 17039396832 in words is "seventeen billion, thirty-nine million, three hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 149 174 232 298 348 447 464 596 696 894 928 1192 1392 1788 2384 2784 3576 4321 4768 7152 8642 12963 14304 17284 25926 34568 41077 51852 69136 82154 103704 123231 138272 164308 207408 246462 328616 414816 492924 657232 985848 1191233 1314464 1971696 2382466 3573699 3943392 4764932 6120473 7147398 9529864 12240946 14294796 18361419 19059728 24481892 28589592 36722838 38119456 48963784 57179184 73445676 97927568 114358368 146891352 177493717 195855136 293782704 354987434 532481151 587565408 709974868 1064962302 1419949736 2129924604 2839899472 4259849208 5679798944 8519698416 17039396832