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20010655919520 = 2532572327351407
BaseRepresentation
bin1001000110011000110000…
…00010011010110110100000
32121212000000000110022012200
410203030120002122312200
510110323310403411040
6110320433551253200
74133502464603430
oct443143002326640
977760000408180
1020010655919520
1164155206540a2
1222b224821a200
13b21cc5b48666
144d27415622c0
1524a7ca60a630
hex12331809ada0

20010655919520 has 864 divisors, whose sum is σ = 82701368934912. Its totient is φ = 4314985095168.

The previous prime is 20010655919473. The next prime is 20010655919521. The reversal of 20010655919520 is 2591955601002.

20010655919520 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 0 + 6 + 5 + 591 + 9 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20010655919521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 389233657 + ... + 389285063.

It is an arithmetic number, because the mean of its divisors is an integer number (95719177008).

Almost surely, 220010655919520 is an apocalyptic number.

20010655919520 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 20010655919520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41350684467456).

20010655919520 is an abundant number, since it is smaller than the sum of its proper divisors (62690713015392).

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

20010655919520 is a wasteful number, since it uses less digits than its factorization.

20010655919520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51554 (or 51520 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 20010655919520 in words is "twenty trillion, ten billion, six hundred fifty-five million, nine hundred nineteen thousand, five hundred twenty".