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20538833388606 = 232131797400313297
BaseRepresentation
bin1001010101110000100011…
…10111100100010000111110
32200201111022121112202102100
410222320101313210100332
510143002012321413411
6111403224303405530
74216611303164541
oct452702167442076
980644277482370
1020538833388606
1165a951a002125
1223786918b38a6
13b5ca5a8b0060
14510128b30858
152593ded5d456
hex12ae11de443e

20538833388606 has 192 divisors, whose sum is σ = 51282787203648. Its totient is φ = 5884665790464.

The previous prime is 20538833388553. The next prime is 20538833388637. The reversal of 20538833388606 is 60688333883502.

20538833388606 is a `hidden beast` number, since 2 + 0 + 538 + 8 + 3 + 3 + 38 + 8 + 60 + 6 = 666.

It is a super-2 number, since 2×205388333886062 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1544614950 + ... + 1544628246.

It is an arithmetic number, because the mean of its divisors is an integer number (267097850019).

Almost surely, 220538833388606 is an apocalyptic number.

20538833388606 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20538833388606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25641393601824).

20538833388606 is an abundant number, since it is smaller than the sum of its proper divisors (30743953815042).

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

20538833388606 is a wasteful number, since it uses less digits than its factorization.

20538833388606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17435 (or 17432 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 20538833388606 in words is "twenty trillion, five hundred thirty-eight billion, eight hundred thirty-three million, three hundred eighty-eight thousand, six hundred six".