Search a number
-
+
10516918764 = 2231123127537
BaseRepresentation
bin10011100101101101…
…10111000111101100
31000010221102211100210
421302312313013230
5133014312400024
64455330022420
7521422222512
oct116266670754
930127384323
1010516918764
114507587800
122056117a10
13cb7b17371
1471aa804b2
15418469129
hex272db71ec

10516918764 has 108 divisors (see below), whose sum is σ = 27875011416. Its totient is φ = 3083731200.

The previous prime is 10516918757. The next prime is 10516918829. The reversal of 10516918764 is 46781961501.

It is a happy number.

It is a super-2 number, since 2×105169187642 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1391604 + ... + 1399140.

Almost surely, 210516918764 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 10516918764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937505708).

10516918764 is an abundant number, since it is smaller than the sum of its proper divisors (17358092652).

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

10516918764 is a wasteful number, since it uses less digits than its factorization.

10516918764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7628 (or 7584 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 10516918764 in words is "ten billion, five hundred sixteen million, nine hundred eighteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 341 363 372 484 682 726 961 1023 1364 1452 1922 2046 2883 3751 3844 4092 5766 7502 7537 10571 11253 11532 15004 15074 21142 22506 22611 30148 31713 42284 45012 45222 63426 82907 90444 116281 126852 165814 232562 233647 248721 331628 348843 465124 467294 497442 697686 700941 911977 934588 994884 1395372 1401882 1823954 2570117 2735931 2803764 3647908 5140234 5471862 7243057 7710351 10280468 10943724 14486114 15420702 21729171 28271287 28972228 30841404 43458342 56542574 79673627 84813861 86916684 113085148 159347254 169627722 239020881 318694508 339255444 478041762 876409897 956083524 1752819794 2629229691 3505639588 5258459382 10516918764