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20045451132 = 22337891511973
BaseRepresentation
bin10010101010110011…
…010100111101111100
31220202000001102111000
4102222303110331330
5312023113414012
613113031330300
71306513344330
oct225263247574
956660042430
1020045451132
118557153143
123a75220990
131b75c2c6b5
14d823577c0
157c4c47ddc
hex4aacd4f7c

20045451132 has 192 divisors, whose sum is σ = 60489676800. Its totient is φ = 5622566400.

The previous prime is 20045451067. The next prime is 20045451143. The reversal of 20045451132 is 23115454002.

20045451132 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 545 + 113 + 2 = 666.

It is a super-2 number, since 2×200454511322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20045451096 and 20045451105.

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, 10158898 + ... + 10160870.

It is an arithmetic number, because the mean of its divisors is an integer number (315050400).

Almost surely, 220045451132 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 20045451132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30244838400).

20045451132 is an abundant number, since it is smaller than the sum of its proper divisors (40444225668).

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

20045451132 is a wasteful number, since it uses less digits than its factorization.

20045451132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 20045451132 in words is "twenty billion, forty-five million, four hundred fifty-one thousand, one hundred thirty-two".