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20117625640632 = 233213383467120167
BaseRepresentation
bin1001001001011111111111…
…11011100001011010111000
32122020020002220212011102100
410210233333323201122320
510114101344131000012
6110441524251503400
74144310342331522
oct444577773413270
978206086764370
1020117625640632
116456923232893
12230ab20157b60
13b2c1125bc120
144d79ac0daa12
1524d48b67c8dc
hex124bffee16b8

20117625640632 has 192 divisors, whose sum is σ = 58956074311680. Its totient is φ = 6160605117696.

The previous prime is 20117625640579. The next prime is 20117625640669. The reversal of 20117625640632 is 23604652671102.

20117625640632 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 7 + 6 + 2 + 5 + 6 + 4 + 0 + 632 = 666.

It is a super-2 number, since 2×201176256406322 (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 47 ways as a sum of consecutive naturals, for example, 167353813 + ... + 167473979.

It is an arithmetic number, because the mean of its divisors is an integer number (307062887040).

Almost surely, 220117625640632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20117625640632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29478037155840).

20117625640632 is an abundant number, since it is smaller than the sum of its proper divisors (38838448671048).

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

20117625640632 is a wasteful number, since it uses less digits than its factorization.

20117625640632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121042 (or 121035 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20117625640632 in words is "twenty trillion, one hundred seventeen billion, six hundred twenty-five million, six hundred forty thousand, six hundred thirty-two".