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716105110149 = 341113239258677
BaseRepresentation
bin10100110101110110011…
…00001101001010000101
32112110101121002202120000
422122323030031022011
543213040402011044
61304550225431513
7102510516001302
oct12327314151205
92473347082500
10716105110149
11256775736290
12b695219b599
13526b3c35910
14269341d80a9
1513962e11d69
hexa6bb30d285

716105110149 has 80 divisors (see below), whose sum is σ = 1262017532160. Its totient is φ = 398940474240.

The previous prime is 716105110099. The next prime is 716105110211. The reversal of 716105110149 is 941011501617.

716105110149 is a `hidden beast` number, since 71 + 61 + 0 + 511 + 0 + 14 + 9 = 666.

It is not a de Polignac number, because 716105110149 - 233 = 707515175557 is a prime.

It is a super-2 number, since 2×7161051101492 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716105110349) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2638999 + ... + 2897675.

It is an arithmetic number, because the mean of its divisors is an integer number (15775219152).

Almost surely, 2716105110149 is an apocalyptic number.

It is an amenable number.

716105110149 is a deficient number, since it is larger than the sum of its proper divisors (545912422011).

716105110149 is a wasteful number, since it uses less digits than its factorization.

716105110149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258952 (or 258943 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 36.

The spelling of 716105110149 in words is "seven hundred sixteen billion, one hundred five million, one hundred ten thousand, one hundred forty-nine".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 239 297 351 429 717 891 1053 1287 2151 2629 3107 3861 6453 7887 9321 11583 19359 23661 27963 34177 70983 83889 102531 212949 251667 258677 307593 776031 922779 2328093 2768337 2845447 3362801 6984279 8536341 10088403 20952837 25609023 30265209 36990811 61823803 76827069 90795627 110972433 185471409 230481207 272386881 332917299 556414227 680061833 803709439 998751897 1669242681 2040185499 2411128317 2996255691 5007728043 6120556497 7233384951 8840803829 18361669491 21700154853 26522411487 55085008473 65100464559 79567234461 238701703383 716105110149