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20193727572432 = 243464128198623
BaseRepresentation
bin1001001011101101101111…
…11101010110100111010000
32122111111112121001212010000
410211312313331112213100
510121323223224304212
6110540512000210000
74152643252146021
oct445666775264720
978444477055100
1020193727572432
1164861258465a7
12232181a609900
13b3634cc713bb
144db54b296c48
1525044280d1dc
hex125db7f569d0

20193727572432 has 200 divisors, whose sum is σ = 58565242834560. Its totient is φ = 6717578158080.

The previous prime is 20193727572419. The next prime is 20193727572433. The reversal of 20193727572432 is 23427572739102.

20193727572432 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 3 + 7 + 27 + 572 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20193727572433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2341840473 + ... + 2341849095.

Almost surely, 220193727572432 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 20193727572432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29282621417280).

20193727572432 is an abundant number, since it is smaller than the sum of its proper divisors (38371515262128).

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

20193727572432 is a wasteful number, since it uses less digits than its factorization.

20193727572432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12103 (or 12088 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 20193727572432 in words is "twenty trillion, one hundred ninety-three billion, seven hundred twenty-seven million, five hundred seventy-two thousand, four hundred thirty-two".