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10063728036 = 223441974131
BaseRepresentation
bin10010101111101100…
…00100110110100100
3221222100200100120000
421113312010312210
5131102303244121
64342340341300
7504250163655
oct112766046644
927870610500
1010063728036
1142a479190a
121b4a3a4830
13c44c7127b
146b67d152c
153dd79a526
hex257d84da4

10063728036 has 60 divisors (see below), whose sum is σ = 26371717680. Its totient is φ = 3346524720.

The previous prime is 10063728007. The next prime is 10063728047. The reversal of 10063728036 is 63082736001.

It is a happy number.

10063728036 is a `hidden beast` number, since 10 + 0 + 637 + 2 + 8 + 0 + 3 + 6 = 666.

10063728036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98691 + ... + 172821.

It is an arithmetic number, because the mean of its divisors is an integer number (439528628).

Almost surely, 210063728036 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 10063728036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13185858840).

10063728036 is an abundant number, since it is smaller than the sum of its proper divisors (16307989644).

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

10063728036 is a wasteful number, since it uses less digits than its factorization.

10063728036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74566 (or 74555 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10063728036 in words is "ten billion, sixty-three million, seven hundred twenty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 419 838 1257 1676 2514 3771 5028 7542 11313 15084 22626 33939 45252 67878 74131 135756 148262 222393 296524 444786 667179 889572 1334358 2001537 2668716 4003074 6004611 8006148 12009222 24018444 31060889 62121778 93182667 124243556 186365334 279548001 372730668 559096002 838644003 1118192004 1677288006 2515932009 3354576012 5031864018 10063728036