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20271187332 = 22351179103233
BaseRepresentation
bin10010111000010000…
…011100010110000100
31221022201211000100000
4102320100130112010
5313003410443312
613151253521300
71315224151344
oct227020342604
957281730300
1020271187332
118662614090
123b18943230
131bb0928006
14da4318d24
157d9987adc
hex4b841c584

20271187332 has 288 divisors, whose sum is σ = 59527802880. Its totient is φ = 5980366080.

The previous prime is 20271187331. The next prime is 20271187397. The reversal of 20271187332 is 23378117202.

20271187332 is a `hidden beast` number, since 202 + 7 + 118 + 7 + 332 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20271187331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87000688 + ... + 87000920.

It is an arithmetic number, because the mean of its divisors is an integer number (206693760).

Almost surely, 220271187332 is an apocalyptic number.

20271187332 is a gapful number since it is divisible by the number (22) 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 20271187332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29763901440).

20271187332 is an abundant number, since it is smaller than the sum of its proper divisors (39256615548).

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

20271187332 is a wasteful number, since it uses less digits than its factorization.

20271187332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 20271187332 in words is "twenty billion, two hundred seventy-one million, one hundred eighty-seven thousand, three hundred thirty-two".