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20801754540 = 223257173131327
BaseRepresentation
bin10011010111111000…
…011001010110101100
31222200201011121201100
4103113320121112230
5320100222121130
613320045443100
71334325665460
oct232770312654
958621147640
1020801754540
118905059086
124046570490
131c668232c8
14101498a4a0
1581b33cc60
hex4d7e195ac

20801754540 has 288 divisors, whose sum is σ = 78820245504. Its totient is φ = 4330506240.

The previous prime is 20801754529. The next prime is 20801754541. The reversal of 20801754540 is 4545710802.

20801754540 is a `hidden beast` number, since 20 + 80 + 17 + 5 + 4 + 540 = 666.

It is a super-3 number, since 3×208017545403 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 20801754495 and 20801754504.

It is not an unprimeable number, because it can be changed into a prime (20801754541) 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 95 ways as a sum of consecutive naturals, for example, 648357 + ... + 679683.

It is an arithmetic number, because the mean of its divisors is an integer number (273681408).

Almost surely, 220801754540 is an apocalyptic number.

20801754540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20801754540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39410122752).

20801754540 is an abundant number, since it is smaller than the sum of its proper divisors (58018490964).

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

20801754540 is a wasteful number, since it uses less digits than its factorization.

20801754540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31397 (or 31392 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 20801754540 in words is "twenty billion, eight hundred one million, seven hundred fifty-four thousand, five hundred forty".