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106463739024 = 24323719981933
BaseRepresentation
bin110001100100110111…
…0111011110010010000
3101011210122022022021100
41203021232323302100
53221014204122044
6120524143224400
710456161564456
oct1431156736220
9334718268240
10106463739024
1141173006985
12187725a8100
13a0689a58a6
14521d6a69d6
152b81926869
hex18c9bbbc90

106463739024 has 60 divisors (see below), whose sum is σ = 306003337276. Its totient is φ = 34528778496.

The previous prime is 106463739023. The next prime is 106463739049. The reversal of 106463739024 is 420937364601.

106463739024 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 637 + 3 + 9 + 0 + 2 + 4 = 666.

106463739024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 93371802624 + 13091936400 = 305568^2 + 114420^2 .

It is a super-2 number, since 2×1064637390242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106463739023) 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 11 ways as a sum of consecutive naturals, for example, 9985639 + ... + 9996294.

Almost surely, 2106463739024 is an apocalyptic number.

It is an amenable number.

106463739024 is an abundant number, since it is smaller than the sum of its proper divisors (199539598252).

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

106463739024 is a wasteful number, since it uses less digits than its factorization.

106463739024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19981984 (or 19981975 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 106463739024 in words is "one hundred six billion, four hundred sixty-three million, seven hundred thirty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 19981933 39963866 59945799 79927732 119891598 159855464 179837397 239783196 319710928 359674794 479566392 719349588 739331521 959132784 1438699176 1478663042 2217994563 2877398352 2957326084 4435989126 5914652168 6653983689 8871978252 11829304336 13307967378 17743956504 26615934756 35487913008 53231869512 106463739024