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2020137541632 = 21332731737127
BaseRepresentation
bin11101011001011001100…
…101001010000000000000
321011010022212011221212100
4131121121211022000000
5231044220202313012
64144012142230400
7265643614533000
oct35313145120000
97133285157770
102020137541632
1170980aa82981
12287623b85400
13118662598392
146dabd13a000
1537835d668dc
hex1d65994a000

2020137541632 has 1344 divisors, whose sum is σ = 7458694963200. Its totient is φ = 524386566144.

The previous prime is 2020137541613. The next prime is 2020137541679. The reversal of 2020137541632 is 2361457310202.

2020137541632 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 13 + 7 + 5 + 4 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×20201375416322 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15906594753 + ... + 15906594879.

Almost surely, 22020137541632 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 2020137541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729347481600).

2020137541632 is an abundant number, since it is smaller than the sum of its proper divisors (5438557421568).

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

2020137541632 is a wasteful number, since it uses less digits than its factorization.

2020137541632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2020137541632 in words is "two trillion, twenty billion, one hundred thirty-seven million, five hundred forty-one thousand, six hundred thirty-two".