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23162004105240 = 2335711131768316607
BaseRepresentation
bin1010100010000110100110…
…00001101110100000011000
310001000021011220001000122210
411101003103001232200120
511013441241022331430
6121132251111515120
74610254024322430
oct521032301564030
9101007156030583
1023162004105240
11741aa505378a0
122720b50388aa0
13cc0224334330
145a1092cb12c0
152a276be8b2b0
hex1510d306e818

23162004105240 has 1024 divisors, whose sum is σ = 98934488432640. Its totient is φ = 4174955642880.

The previous prime is 23162004105239. The next prime is 23162004105301. The reversal of 23162004105240 is 4250140026132.

It is a super-2 number, since 2×231620041052402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23162004105198 and 23162004105207.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1394705017 + ... + 1394721623.

It is an arithmetic number, because the mean of its divisors is an integer number (96615711360).

Almost surely, 223162004105240 is an apocalyptic number.

23162004105240 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 23162004105240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49467244216320).

23162004105240 is an abundant number, since it is smaller than the sum of its proper divisors (75772484327400).

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

23162004105240 is a wasteful number, since it uses less digits than its factorization.

23162004105240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17352 (or 17348 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 23162004105240 in words is "twenty-three trillion, one hundred sixty-two billion, four million, one hundred five thousand, two hundred forty".