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20429764212 = 22311131719293141
BaseRepresentation
bin10011000001101101…
…010111011001110100
31221201210012112220210
4103001231113121310
5313320004423322
613215120425420
71322161062534
oct230155273164
957653175823
1020429764212
118734084260
123b61a78270
131c0773aaa0
14dbb3d74c4
157e885d70c
hex4c1b57674

20429764212 has 768 divisors, whose sum is σ = 68279500800. Its totient is φ = 4644864000.

The previous prime is 20429764177. The next prime is 20429764213. The reversal of 20429764212 is 21246792402.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20429764213) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 498286912 + ... + 498286952.

It is an arithmetic number, because the mean of its divisors is an integer number (88905600).

Almost surely, 220429764212 is an apocalyptic number.

20429764212 is a gapful number since it is divisible by the number (22) 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 20429764212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34139750400).

20429764212 is an abundant number, since it is smaller than the sum of its proper divisors (47849736588).

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

20429764212 is a wasteful number, since it uses less digits than its factorization.

20429764212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 20429764212 in words is "twenty billion, four hundred twenty-nine million, seven hundred sixty-four thousand, two hundred twelve".