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20010079580472 = 2335127283286393
BaseRepresentation
bin1001000110010111101011…
…01011110111000100111000
32121211221111211222020200000
410203023311223313010320
510110321120333033342
6110320300442313000
74133452266031602
oct443136553670470
977757454866600
1020010079580472
116415255297033
1222b21071b8760
13b21c33615637
144d26c8bb8172
1524a794c1344c
hex1232f5af7138

20010079580472 has 192 divisors, whose sum is σ = 56844030996480. Its totient is φ = 6594100192512.

The previous prime is 20010079580471. The next prime is 20010079580473. The reversal of 20010079580472 is 27408597001002.

It is a happy number.

20010079580472 is a `hidden beast` number, since 2 + 0 + 0 + 10 + 0 + 7 + 95 + 80 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (20010079580471) and next prime (20010079580473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010079580471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69726108 + ... + 70012500.

It is an arithmetic number, because the mean of its divisors is an integer number (296062661440).

Almost surely, 220010079580472 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 20010079580472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28422015498240).

20010079580472 is an abundant number, since it is smaller than the sum of its proper divisors (36833951416008).

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

20010079580472 is a wasteful number, since it uses less digits than its factorization.

20010079580472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286824 (or 286808 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 20010079580472 in words is "twenty trillion, ten billion, seventy-nine million, five hundred eighty thousand, four hundred seventy-two".