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20120776704 = 21233724779
BaseRepresentation
bin10010101111010010…
…101011000000000000
31220221020210100202000
4102233102223000000
5312201404323304
613124322024000
71311416531400
oct225722530000
956836710660
1020120776704
118595721386
123a964a8000
131b88714242
14d8c364800
157cb676939
hex4af4ab000

20120776704 has 624 divisors, whose sum is σ = 71713843200. Its totient is φ = 5555257344.

The previous prime is 20120776679. The next prime is 20120776721. The reversal of 20120776704 is 40767702102.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254693337 + ... + 254693415.

Almost surely, 220120776704 is an apocalyptic number.

20120776704 is a gapful number since it is divisible by the number (24) 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 20120776704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35856921600).

20120776704 is an abundant number, since it is smaller than the sum of its proper divisors (51593066496).

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

20120776704 is an equidigital number, since it uses as much as digits as its factorization.

20120776704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 20120776704 in words is "twenty billion, one hundred twenty million, seven hundred seventy-six thousand, seven hundred four".