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117106999681 = 72192312832
BaseRepresentation
bin110110100010000011…
…1110000000110000001
3102012021101110222010111
41231010013300012001
53404313342442211
6125444225231321
711314010034100
oct1550407600601
9365241428114
10117106999681
1145734937171
121a842a92541
13b073a27669
14594d034037
1530a5eea421
hex1b441f0181

117106999681 has 81 divisors (see below), whose sum is σ = 150372612513. Its totient is φ = 90918087120.

The previous prime is 117106999657. The next prime is 117106999693. The reversal of 117106999681 is 186999601711.

The square root of 117106999681 is 342209.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 117106999681 - 211 = 117106997633 is a prime.

It is a super-2 number, since 2×1171069996812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117106999651) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1410927666 + ... + 1410927748.

Almost surely, 2117106999681 is an apocalyptic number.

117106999681 is the 342209-th square number.

117106999681 is the 171105-th centered octagonal number.

It is an amenable number.

117106999681 is a deficient number, since it is larger than the sum of its proper divisors (33265612832).

117106999681 is an frugal number, since it uses more digits than its factorization.

117106999681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 58.

The spelling of 117106999681 in words is "one hundred seventeen billion, one hundred six million, nine hundred ninety-nine thousand, six hundred eighty-one".

Divisors: 1 7 19 31 49 83 133 217 361 581 589 931 961 1519 1577 2527 2573 4067 4123 6727 6889 11039 11191 17689 18011 18259 28861 29963 47089 48223 48887 77273 78337 79763 126077 127813 130891 209741 213559 337561 342209 346921 548359 558341 894691 916237 928853 1468187 1494913 1515497 2395463 2428447 2486929 3908387 4057621 6413659 6501971 6620329 10464391 10608479 16999129 17408503 28403347 28794443 45513797 46342303 74259353 77094799 121859521 125786251 198823429 201561101 324396121 539663593 880503757 1410927707 2389938769 3777645151 6163526299 16729571383 117106999681