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20025164005784 = 2374753616073877
BaseRepresentation
bin1001000110110011110001…
…10010011000000110011000
32121220101110002222110002222
410203121320302120012120
510111043013441141114
6110331233334043212
74134525142365140
oct443317062300630
977811402873088
1020025164005784
116420696032033
1222b5016aa9508
13b234987b10a2
144d331a2d7920
1524ad7915298e
hex123678c98198

20025164005784 has 256 divisors, whose sum is σ = 45469409771520. Its totient is φ = 8090587514880.

The previous prime is 20025164005783. The next prime is 20025164005787. The reversal of 20025164005784 is 48750046152002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20025164005783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5165116454 + ... + 5165120330.

It is an arithmetic number, because the mean of its divisors is an integer number (177614881920).

Almost surely, 220025164005784 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 20025164005784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22734704885760).

20025164005784 is an abundant number, since it is smaller than the sum of its proper divisors (25444245765736).

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

20025164005784 is a wasteful number, since it uses less digits than its factorization.

20025164005784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The spelling of 20025164005784 in words is "twenty trillion, twenty-five billion, one hundred sixty-four million, five thousand, seven hundred eighty-four".