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10659741414 = 2372315173079
BaseRepresentation
bin10011110110101111…
…01011111011100110
31000111220011222012120
421323113223323212
5133312343211124
64521431130410
7525105210210
oct117327537346
930456158176
1010659741414
114580167553
122095b13a06
13100b5a23ca
14731a1b5b0
15425c7bd79
hex27b5ebee6

10659741414 has 64 divisors (see below), whose sum is σ = 25593200640. Its totient is φ = 2893888800.

The previous prime is 10659741383. The next prime is 10659741457. The reversal of 10659741414 is 41414795601.

It is a super-2 number, since 2×106597414142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109327 + ... + 182405.

It is an arithmetic number, because the mean of its divisors is an integer number (399893760).

Almost surely, 210659741414 is an apocalyptic number.

10659741414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10659741414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796600320).

10659741414 is an abundant number, since it is smaller than the sum of its proper divisors (14933459226).

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

10659741414 is a wasteful number, since it uses less digits than its factorization.

10659741414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73265.

The product of its (nonzero) digits is 120960, while the sum is 42.

It can be divided in two parts, 1065 and 9741414, that added together give a palindrome (9742479).

The spelling of 10659741414 in words is "ten billion, six hundred fifty-nine million, seven hundred forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 151 161 302 322 453 483 906 966 1057 2114 3171 3473 6342 6946 10419 20838 24311 48622 72933 73079 145866 146158 219237 438474 511553 1023106 1534659 1680817 3069318 3361634 5042451 10084902 11034929 11765719 22069858 23531438 33104787 35297157 66209574 70594314 77244503 154489006 231733509 253803367 463467018 507606734 761410101 1522820202 1776623569 3553247138 5329870707 10659741414