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20379572136 = 2335711212377
BaseRepresentation
bin10010111110101101…
…111001011110101000
31221121021202112100000
4102332231321132220
5313214132302021
613210124543000
71321011335130
oct227655713650
957537675300
1020379572136
118708812200
123b490b1a60
131bca216131
14db488dac0
157e4246b26
hex4beb797a8

20379572136 has 288 divisors, whose sum is σ = 71909248320. Its totient is φ = 5292967680.

The previous prime is 20379572131. The next prime is 20379572149. The reversal of 20379572136 is 63127597302.

20379572136 is a `hidden beast` number, since 2 + 0 + 3 + 79 + 572 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20379572091 and 20379572100.

It is not an unprimeable number, because it can be changed into a prime (20379572131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1640380 + ... + 1652756.

It is an arithmetic number, because the mean of its divisors is an integer number (249684890).

Almost surely, 220379572136 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 20379572136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35954624160).

20379572136 is an abundant number, since it is smaller than the sum of its proper divisors (51529676184).

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

20379572136 is a wasteful number, since it uses less digits than its factorization.

20379572136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12427 (or 12400 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 20379572136 in words is "twenty billion, three hundred seventy-nine million, five hundred seventy-two thousand, one hundred thirty-six".