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107448610536 = 233619395461
BaseRepresentation
bin110010000010001101…
…1111010111011101000
3101021100021111222000000
41210010123322323220
53230023321014121
6121210004343000
710522451056131
oct1440433727350
9337307458000
10107448610536
1141628a37483
12189a83a4a60
13a194a46ab7
1452b43d6c88
152bdd11a526
hex19046faee8

107448610536 has 112 divisors (see below), whose sum is σ = 303629301060. Its totient is φ = 35630254080.

The previous prime is 107448610523. The next prime is 107448610573. The reversal of 107448610536 is 635016844701.

107448610536 is a `hidden beast` number, since 1 + 0 + 74 + 48 + 6 + 1 + 0 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107121362436 + 327248100 = 327294^2 + 18090^2 .

It is a super-2 number, since 2×1074486105362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107448610491 and 107448610500.

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 27 ways as a sum of consecutive naturals, for example, 1077846 + ... + 1173306.

Almost surely, 2107448610536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107448610536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151814650530).

107448610536 is an abundant number, since it is smaller than the sum of its proper divisors (196180690524).

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

107448610536 is an equidigital number, since it uses as much as digits as its factorization.

107448610536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95678 (or 95659 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 107448610536 in words is "one hundred seven billion, four hundred forty-eight million, six hundred ten thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 193 216 243 324 386 486 579 648 729 772 972 1158 1458 1544 1737 1944 2316 2916 3474 4632 5211 5832 6948 10422 13896 15633 20844 31266 41688 46899 62532 93798 95461 125064 140697 187596 190922 281394 286383 375192 381844 562788 572766 763688 859149 1125576 1145532 1718298 2291064 2577447 3436596 5154894 6873192 7732341 10309788 15464682 18423973 20619576 23197023 30929364 36847946 46394046 55271919 61858728 69591069 73695892 92788092 110543838 139182138 147391784 165815757 185576184 221087676 278364276 331631514 442175352 497447271 556728552 663263028 994894542 1326526056 1492341813 1989789084 2984683626 3979578168 4477025439 5969367252 8954050878 11938734504 13431076317 17908101756 26862152634 35816203512 53724305268 107448610536