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20122601413266 = 232112928159321031
BaseRepresentation
bin1001001001101001010001…
…00000100101101010010010
32122020200221200122121021200
410210310220200211222102
510114142041430211031
6110444110115532030
74144544551602342
oct444645040455222
978220850577250
1020122601413266
116458a469a2480
12230ba8a5ba016
13b2c7264173a1
144d7d20c92d22
1524d67d3ea8e6
hex124d28825a92

20122601413266 has 192 divisors, whose sum is σ = 49463316714240. Its totient is φ = 5856367104000.

The previous prime is 20122601413231. The next prime is 20122601413279. The reversal of 20122601413266 is 66231410622102.

20122601413266 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 2 + 601 + 41 + 3 + 2 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20122601413266.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 956796171 + ... + 956817201.

It is an arithmetic number, because the mean of its divisors is an integer number (257621441220).

Almost surely, 220122601413266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122601413266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24731658357120).

20122601413266 is an abundant number, since it is smaller than the sum of its proper divisors (29340715300974).

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

20122601413266 is a wasteful number, since it uses less digits than its factorization.

20122601413266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21953 (or 21950 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20122601413266 in words is "twenty trillion, one hundred twenty-two billion, six hundred one million, four hundred thirteen thousand, two hundred sixty-six".