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20886180480 = 273551129421
BaseRepresentation
bin10011011100111010…
…011101001010000000
31222220121000220100000
4103130322131022000
5320233330233410
613332303200000
71336402414314
oct233472351200
958817026300
1020886180480
118948782590
12406a8a6000
131c7b173099
141021c85b44
15823967dc0
hex4dce9d280

20886180480 has 768 divisors, whose sum is σ = 84607286400. Its totient is φ = 4877107200.

The previous prime is 20886180473. The next prime is 20886180503. The reversal of 20886180480 is 8408168802.

It is a happy number.

20886180480 is a `hidden beast` number, since 20 + 8 + 8 + 618 + 0 + 4 + 8 + 0 = 666.

It is a super-3 number, since 3×208861804803 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 49610670 + ... + 49611090.

Almost surely, 220886180480 is an apocalyptic number.

20886180480 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 20886180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42303643200).

20886180480 is an abundant number, since it is smaller than the sum of its proper divisors (63721105920).

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

20886180480 is a wasteful number, since it uses less digits than its factorization.

20886180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 20886180480 in words is "twenty billion, eight hundred eighty-six million, one hundred eighty thousand, four hundred eighty".