Search a number
-
+
116345236752 = 24321785755457
BaseRepresentation
bin110110001011010110…
…1110110110100010000
3102010022022002101211200
41230112231312310100
53401233340034002
6125240454111200
711256100123653
oct1542655666420
9363268071750
10116345236752
1145383942428
121a66b94b500
13ac81c71a74
1458b9bbd89a
15305e1c7b1c
hex1b16b76d10

116345236752 has 120 divisors (see below), whose sum is σ = 345166820856. Its totient is φ = 36457218048.

The previous prime is 116345236751. The next prime is 116345236789. The reversal of 116345236752 is 257632543611.

116345236752 is a `hidden beast` number, since 1 + 1 + 6 + 345 + 236 + 75 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19203307776 + 97141928976 = 138576^2 + 311676^2 .

It is a super-2 number, since 2×1163452367522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116345236698 and 116345236707.

It is not an unprimeable number, because it can be changed into a prime (116345236751) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2070208 + ... + 2125664.

Almost surely, 2116345236752 is an apocalyptic number.

116345236752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116345236752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172583410428).

116345236752 is an abundant number, since it is smaller than the sum of its proper divisors (228821584104).

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

116345236752 is a wasteful number, since it uses less digits than its factorization.

116345236752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56345 (or 56336 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 116345236752 in words is "one hundred sixteen billion, three hundred forty-five million, two hundred thirty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 857 1224 1714 2448 2571 3428 5142 6856 7713 10284 13712 14569 15426 20568 29138 30852 41136 43707 55457 58276 61704 87414 110914 116552 123408 131121 166371 174828 221828 233104 262242 332742 349656 443656 499113 524484 665484 699312 887312 942769 998226 1048968 1330968 1885538 1996452 2097936 2661936 2828307 3771076 3992904 5656614 7542152 7985808 8484921 11313228 15084304 16969842 22626456 33939684 45252912 47526649 67879368 95053298 135758736 142579947 190106596 285159894 380213192 427739841 570319788 760426384 807953033 855479682 1140639576 1615906066 1710959364 2281279152 2423859099 3231812132 3421918728 4847718198 6463624264 6843837456 7271577297 9695436396 12927248528 14543154594 19390872792 29086309188 38781745584 58172618376 116345236752