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20643430007520 = 2533554714895867
BaseRepresentation
bin1001011000110011011000…
…10100000000001011100000
32201002111022010112112102000
410230121230110000023200
510201210221040220040
6111523243312124000
74230303303604425
oct454315424001340
981074263475360
1020643430007520
116639914080031
122394a02b36600
13b698897c4b38
1451520c44bd4c
1525beb28be130
hex12c66c5002e0

20643430007520 has 384 divisors, whose sum is σ = 72445051123200. Its totient is φ = 5490224603136.

The previous prime is 20643430007489. The next prime is 20643430007573. The reversal of 20643430007520 is 2570003434602.

20643430007520 is a `hidden beast` number, since 2 + 0 + 643 + 4 + 3 + 0 + 0 + 0 + 7 + 5 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3518563627 + ... + 3518569493.

It is an arithmetic number, because the mean of its divisors is an integer number (188658987300).

Almost surely, 220643430007520 is an apocalyptic number.

20643430007520 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 20643430007520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36222525561600).

20643430007520 is an abundant number, since it is smaller than the sum of its proper divisors (51801621115680).

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

20643430007520 is a wasteful number, since it uses less digits than its factorization.

20643430007520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7927 (or 7913 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 20643430007520 in words is "twenty trillion, six hundred forty-three billion, four hundred thirty million, seven thousand, five hundred twenty".