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5165108922114 = 2321967811127791
BaseRepresentation
bin100101100101001100001…
…1110111000011100000010
3200021210001022200102000200
41023022120132320130002
51134111120341001424
614552452425430030
71042111133305041
oct113123036703402
920253038612020
105165108922114
1117115683724a9
126b504863b316
132b60b590830b
1413bdc79d2558
158e55297d8c9
hex4b2987b8702

5165108922114 has 96 divisors (see below), whose sum is σ = 11957799260160. Its totient is φ = 1606486543200.

The previous prime is 5165108922109. The next prime is 5165108922131. The reversal of 5165108922114 is 4112298015615.

5165108922114 is a `hidden beast` number, since 5 + 16 + 510 + 8 + 9 + 2 + 2 + 114 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5165108922114.

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 47 ways as a sum of consecutive naturals, for example, 185841559 + ... + 185869349.

It is an arithmetic number, because the mean of its divisors is an integer number (124560408960).

Almost surely, 25165108922114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5165108922114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978899630080).

5165108922114 is an abundant number, since it is smaller than the sum of its proper divisors (6792690338046).

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

5165108922114 is a wasteful number, since it uses less digits than its factorization.

5165108922114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35996 (or 35993 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 5165108922114 in words is "five trillion, one hundred sixty-five billion, one hundred eight million, nine hundred twenty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 67 114 134 171 201 342 402 603 1206 1273 2546 3819 7638 8111 11457 16222 22914 24333 27791 48666 55582 72999 83373 145998 154109 166746 250119 308218 462327 500238 528029 543437 924654 1056058 1086874 1386981 1584087 1630311 1861997 2773962 3168174 3260622 3723994 4752261 4890933 5585991 9504522 9781866 10325303 11171982 16757973 20650606 30975909 33515946 35377943 61951818 70755886 92927727 106133829 185855454 212267658 225412801 318401487 450825602 636802974 676238403 1352476806 2028715209 4057430418 4282843219 8565686438 12848529657 15102657667 25697059314 30205315334 38545588971 45307973001 77091177942 90615946002 135923919003 271847838006 286950495673 573900991346 860851487019 1721702974038 2582554461057 5165108922114