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20295523380672 = 26331910925722067
BaseRepresentation
bin1001001110101011010110…
…11101100010110111000000
32122212020021220211201011000
410213111223131202313000
510130010212441140142
6111055345033452000
74163205663223041
oct447255335426700
978766256751130
1020295523380672
116515312932a41
1223394a9871000
13b42b23833c67
14502446a1c8c8
15252dee52414c
hex12756b762dc0

20295523380672 has 448 divisors, whose sum is σ = 63631047744000. Its totient is φ = 6325317402624.

The previous prime is 20295523380661. The next prime is 20295523380673. The reversal of 20295523380672 is 27608332559202.

20295523380672 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 552 + 3 + 3 + 80 + 6 + 7 + 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 (20295523380673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 919711783 + ... + 919733849.

Almost surely, 220295523380672 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 20295523380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31815523872000).

20295523380672 is an abundant number, since it is smaller than the sum of its proper divisors (43335524363328).

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

20295523380672 is a wasteful number, since it uses less digits than its factorization.

20295523380672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22473 (or 22457 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 20295523380672 in words is "twenty trillion, two hundred ninety-five billion, five hundred twenty-three million, three hundred eighty thousand, six hundred seventy-two".