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20888122375260 = 223257237611516949
BaseRepresentation
bin1001011111111011001010…
…00111010011110001011100
32201221212220011101201211200
410233331211013103301130
510214212333312002020
6112231512042515500
74254055100451600
oct457754507236134
981855804351750
1020888122375260
11672366a58a638
122414311b05b90
13b8698408440a
14522dc1d9d500
15263534766590
hex12ff651d3c5c

20888122375260 has 864 divisors, whose sum is σ = 77458873564800. Its totient is φ = 4538322432000.

The previous prime is 20888122375213. The next prime is 20888122375331. The reversal of 20888122375260 is 6257322188802.

20888122375260 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 8 + 1 + 2 + 2 + 375 + 260 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20888122375197 and 20888122375206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3005914266 + ... + 3005921214.

Almost surely, 220888122375260 is an apocalyptic number.

20888122375260 is a gapful number since it is divisible by the number (20) 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 20888122375260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38729436782400).

20888122375260 is an abundant number, since it is smaller than the sum of its proper divisors (56570751189540).

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

20888122375260 is a wasteful number, since it uses less digits than its factorization.

20888122375260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7227 (or 7215 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 20888122375260 in words is "twenty trillion, eight hundred eighty-eight billion, one hundred twenty-two million, three hundred seventy-five thousand, two hundred sixty".