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10486608336 = 2432292511161
BaseRepresentation
bin10011100010000110…
…01111000111010000
31000001211101220021100
421301003033013100
5132434032431321
64452324224400
7520603462101
oct116103170720
930054356240
1010486608336
1144a1465066
122047b3b100
13cb1763cb9
14716a303a8
1541597d326
hex2710cf1d0

10486608336 has 60 divisors (see below), whose sum is σ = 30359948580. Its totient is φ = 3374999040.

The previous prime is 10486608331. The next prime is 10486608347. The reversal of 10486608336 is 63380668401.

10486608336 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 6 + 608 + 3 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3507008400 + 6979599936 = 59220^2 + 83544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10486608291 and 10486608300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10486608331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1251405 + ... + 1259756.

It is an arithmetic number, because the mean of its divisors is an integer number (505999143).

Almost surely, 210486608336 is an apocalyptic number.

10486608336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10486608336 is an abundant number, since it is smaller than the sum of its proper divisors (19873340244).

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

10486608336 is a wasteful number, since it uses less digits than its factorization.

10486608336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511204 (or 2511195 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 10486608336 in words is "ten billion, four hundred eighty-six million, six hundred eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 2511161 5022322 7533483 10044644 15066966 20089288 22600449 30133932 40178576 45200898 60267864 72823669 90401796 120535728 145647338 180803592 218471007 291294676 361607184 436942014 582589352 655413021 873884028 1165178704 1310826042 1747768056 2621652084 3495536112 5243304168 10486608336