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20107343256 = 233731113192931
BaseRepresentation
bin10010101110011111…
…011011010110011000
31220220022111212111220
4102232133123112120
5312134434441011
613123122052040
71311164412000
oct225637332630
956808455456
1020107343256
118589086660
123a91aaa020
131b859bc960
14d8a669000
157ca3c1506
hex4ae7db598

20107343256 has 1024 divisors, whose sum is σ = 77414400000. Its totient is φ = 4267468800.

The previous prime is 20107343231. The next prime is 20107343257. The reversal of 20107343256 is 65234370102.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20107343257) 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, 648623961 + ... + 648623991.

It is an arithmetic number, because the mean of its divisors is an integer number (75600000).

Almost surely, 220107343256 is an apocalyptic number.

20107343256 is a gapful number since it is divisible by the number (26) 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 20107343256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200000).

20107343256 is an abundant number, since it is smaller than the sum of its proper divisors (57307056744).

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

20107343256 is a wasteful number, since it uses less digits than its factorization.

20107343256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

It can be divided in two parts, 20107 and 343256, that added together give a palindrome (363363).

The spelling of 20107343256 in words is "twenty billion, one hundred seven million, three hundred forty-three thousand, two hundred fifty-six".