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20379312072 = 233373416709
BaseRepresentation
bin10010111110101100…
…111001111111001000
31221121021021022121000
4102332230321333020
5313214100441242
613210115215000
71321006203000
oct227654717710
957537238530
1020379312072
118708654879
123b48ba7460
131bca154952
14db4823000
157e41e4a4c
hex4beb39fc8

20379312072 has 256 divisors, whose sum is σ = 67636800000. Its totient is φ = 5679797760.

The previous prime is 20379312007. The next prime is 20379312077. The reversal of 20379312072 is 27021397302.

20379312072 is a `hidden beast` number, since 203 + 79 + 312 + 0 + 72 = 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 (20379312077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3034254 + ... + 3040962.

It is an arithmetic number, because the mean of its divisors is an integer number (264206250).

Almost surely, 220379312072 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 20379312072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33818400000).

20379312072 is an abundant number, since it is smaller than the sum of its proper divisors (47257487928).

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

20379312072 is a wasteful number, since it uses less digits than its factorization.

20379312072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6786 (or 6762 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 20379312072 in words is "twenty billion, three hundred seventy-nine million, three hundred twelve thousand, seventy-two".