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138528717732 = 223211927322631
BaseRepresentation
bin1000000100000011110…
…1000111101110100100
3111020120022012222220100
42001000331013232210
54232201322431412
6143350023104100
713002604446426
oct2010075075644
9436508188810
10138528717732
1153827938a89
1222a20ba2030
13100a8b16182
1469c2082816
15390b99aedc
hex2040f47ba4

138528717732 has 36 divisors (see below), whose sum is σ = 350200259136. Its totient is φ = 46172224560.

The previous prime is 138528717731. The next prime is 138528717757. The reversal of 138528717732 is 237717825831.

138528717732 is a `hidden beast` number, since 1 + 38 + 528 + 7 + 17 + 73 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (138528717731) 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, 268057 + ... + 590687.

It is an arithmetic number, because the mean of its divisors is an integer number (9727784976).

Almost surely, 2138528717732 is an apocalyptic number.

138528717732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138528717732 is an abundant number, since it is smaller than the sum of its proper divisors (211671541404).

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

138528717732 is a wasteful number, since it uses less digits than its factorization.

138528717732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334568 (or 334563 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 138528717732 in words is "one hundred thirty-eight billion, five hundred twenty-eight million, seven hundred seventeen thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 11927 23854 35781 47708 71562 107343 143124 214686 322631 429372 645262 967893 1290524 1935786 2903679 3871572 5807358 11614716 3848019937 7696039874 11544059811 15392079748 23088119622 34632179433 46176239244 69264358866 138528717732