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20527736040 = 233657196779
BaseRepresentation
bin10011000111100011…
…000110010011101000
31221222121120001000000
4103013203012103220
5314020100023130
613232540343000
71324460606640
oct230743062350
957877501000
1020527736040
11878440aa09
123b8a844a60
131c21b21396
14dca41b520
15802262260
hex4c78c64e8

20527736040 has 896 divisors, whose sum is σ = 85621248000. Its totient is φ = 4323331584.

The previous prime is 20527736039. The next prime is 20527736077. The reversal of 20527736040 is 4063772502.

It is a happy number.

20527736040 is a `hidden beast` number, since 2 + 0 + 527 + 73 + 60 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20527735986 and 20527736004.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 259844721 + ... + 259844799.

Almost surely, 220527736040 is an apocalyptic number.

20527736040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20527736040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42810624000).

20527736040 is an abundant number, since it is smaller than the sum of its proper divisors (65093511960).

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

20527736040 is a wasteful number, since it uses less digits than its factorization.

20527736040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 20527736040 in words is "twenty billion, five hundred twenty-seven million, seven hundred thirty-six thousand, forty".