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116824523634 = 232713172246787
BaseRepresentation
bin110110011001101001…
…0001100001101110010
3102011112200221200211200
41230303102030031302
53403224034224014
6125400214552030
711304010031550
oct1546322141562
9364480850750
10116824523634
11455aa441795
121a784368616
13b02a353c80
145923702bd0
15308b2eda09
hex1b3348c372

116824523634 has 144 divisors (see below), whose sum is σ = 330936785088. Its totient is φ = 28998342144.

The previous prime is 116824523611. The next prime is 116824523639. The reversal of 116824523634 is 436325428611.

116824523634 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 2 + 4 + 5 + 2 + 3 + 634 = 666.

116824523634 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1168245236342 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116824523634.

It is not an unprimeable number, because it can be changed into a prime (116824523639) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 349989 + ... + 596775.

Almost surely, 2116824523634 is an apocalyptic number.

116824523634 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 116824523634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165468392544).

116824523634 is an abundant number, since it is smaller than the sum of its proper divisors (214112261454).

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

116824523634 is a wasteful number, since it uses less digits than its factorization.

116824523634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246849 (or 246829 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 116824523634 in words is "one hundred sixteen billion, eight hundred twenty-four million, five hundred twenty-three thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 51 63 78 91 102 117 119 126 153 182 221 234 238 273 289 306 357 442 546 578 663 714 819 867 1071 1326 1547 1638 1734 1989 2023 2142 2601 3094 3757 3978 4046 4641 5202 6069 7514 9282 11271 12138 13923 18207 22542 26299 27846 33813 36414 52598 67626 78897 157794 236691 246787 473382 493574 740361 1480722 1727509 2221083 3208231 3455018 4195379 4442166 5182527 6416462 8390758 9624693 10365054 12586137 15547581 19249386 22457617 25172274 28874079 29367653 31095162 37758411 44915234 54539927 57748158 58735306 67372851 71321443 75516822 88102959 109079854 134745702 142642886 163619781 176205918 202118553 213964329 264308877 327239562 381779489 404237106 427928658 490859343 499250101 528617754 641892987 763558978 927178759 981718686 998500202 1145338467 1283785974 1497750303 1854357518 2290676934 2781536277 2995500606 3436015401 4493250909 5563072554 6490251313 6872030802 8344608831 8986501818 12980502626 16689217662 19470753939 38941507878 58412261817 116824523634