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116341205344 = 2571362696373
BaseRepresentation
bin110110001011001111…
…0011110100101100000
3102010022000111120210021
41230112132132211200
53401231322032334
6125240231443224
711256020633410
oct1542636364540
9363260446707
10116341205344
1145381639591
121a66a526514
13ac8118cb10
1458b9450640
15305db7d3b4
hex1b1679e960

116341205344 has 96 divisors (see below), whose sum is σ = 281992898880. Its totient is φ = 46010529792.

The previous prime is 116341205339. The next prime is 116341205353. The reversal of 116341205344 is 443502143611.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18252142 + ... + 18258514.

It is an arithmetic number, because the mean of its divisors is an integer number (2937426030).

Almost surely, 2116341205344 is an apocalyptic number.

116341205344 is a gapful number since it is divisible by the number (14) 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 116341205344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140996449440).

116341205344 is an abundant number, since it is smaller than the sum of its proper divisors (165651693536).

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

116341205344 is a wasteful number, since it uses less digits than its factorization.

116341205344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672 (or 12664 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 116341205344 its reverse (443502143611), we get a palindrome (559843348955).

The spelling of 116341205344 in words is "one hundred sixteen billion, three hundred forty-one million, two hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 6269 6373 12538 12746 25076 25492 43883 44611 50152 50984 81497 82849 87766 89222 100304 101968 162994 165698 175532 178444 200608 203936 325988 331396 351064 356888 570479 579943 651976 662792 702128 713776 1140958 1159886 1303952 1325584 1404256 1427552 2281916 2319772 2607904 2651168 4563832 4639544 9127664 9279088 18255328 18558176 39952337 79904674 159809348 279666359 319618696 519380381 559332718 639237392 1038760762 1118665436 1278474784 2077521524 2237330872 3635662667 4155043048 4474661744 7271325334 8310086096 8949323488 14542650668 16620172192 29085301336 58170602672 116341205344