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17680738116 = 22319731815869
BaseRepresentation
bin10000011101110110…
…101010011101000100
31200122012102120001110
4100131312222131010
5242202232104431
612042235325020
71164100536306
oct203566523504
950565376043
1017680738116
117553352268
1235152b0770
13188a04a322
14bda281976
156d7342346
hex41ddaa744

17680738116 has 96 divisors (see below), whose sum is σ = 44272009600. Its totient is φ = 5475548160.

The previous prime is 17680738111. The next prime is 17680738139. The reversal of 17680738116 is 61183708671.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (17680738111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3009630 + ... + 3015498.

Almost surely, 217680738116 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 17680738116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22136004800).

17680738116 is an abundant number, since it is smaller than the sum of its proper divisors (26591271484).

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

17680738116 is a wasteful number, since it uses less digits than its factorization.

17680738116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6149 (or 6147 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 17680738116 in words is "seventeen billion, six hundred eighty million, seven hundred thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 57 73 76 114 146 181 219 228 292 362 438 543 724 876 1086 1387 2172 2774 3439 4161 5548 5869 6878 8322 10317 11738 13213 13756 16644 17607 20634 23476 26426 35214 39639 41268 52852 70428 79278 111511 158556 223022 251047 334533 428437 446044 502094 669066 753141 856874 1004188 1062289 1285311 1338132 1506282 1713748 2124578 2570622 3012564 3186867 4249156 5141244 6373734 8140303 12747468 16280606 20183491 24420909 32561212 40366982 48841818 60550473 77547097 80733964 97683636 121100946 155094194 232641291 242201892 310188388 465282582 930565164 1473394843 2946789686 4420184529 5893579372 8840369058 17680738116