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20935030176 = 253361491809
BaseRepresentation
bin10011011111110100…
…110011010110100000
32000000222221201112000
4103133310303112200
5320333331431201
613341210204000
71340534551254
oct233764632640
960028851460
1020935030176
118973308035
124083123600
131c88317a28
141028560264
15827db6d86
hex4dfd335a0

20935030176 has 192 divisors, whose sum is σ = 62264764800. Its totient is φ = 6841497600.

The previous prime is 20935030163. The next prime is 20935030189. The reversal of 20935030176 is 67103053902.

20935030176 is a `hidden beast` number, since 209 + 350 + 30 + 1 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (20935030163) and next prime (20935030189).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20935030176.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25877260 + ... + 25878068.

It is an arithmetic number, because the mean of its divisors is an integer number (324295650).

Almost surely, 220935030176 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 20935030176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31132382400).

20935030176 is an abundant number, since it is smaller than the sum of its proper divisors (41329734624).

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

20935030176 is a wasteful number, since it uses less digits than its factorization.

20935030176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 20935030176 in words is "twenty billion, nine hundred thirty-five million, thirty thousand, one hundred seventy-six".