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23361102189040 = 2457113195973383
BaseRepresentation
bin1010100111111001011100…
…01100101001000111110000
310001201022002101012121201111
411103330232030221013300
511030222014130022130
6121403535302443104
74630532614160230
oct523745614510760
9101638071177644
1023361102189040
11749742a188000
122753655a33494
131005c33838885
145aa97d297cc0
152a7a2115602a
hex153f2e3291f0

23361102189040 has 1280 divisors, whose sum is σ = 74282788454400. Its totient is φ = 6670877368320.

The previous prime is 23361102189017. The next prime is 23361102189043. The reversal of 23361102189040 is 4098120116332.

It is a happy number.

It is a super-2 number, since 2×233611021890402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 23361102188984 and 23361102189002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23361102189043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 60995044689 + ... + 60995045071.

It is an arithmetic number, because the mean of its divisors is an integer number (58033428480).

Almost surely, 223361102189040 is an apocalyptic number.

23361102189040 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 23361102189040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37141394227200).

23361102189040 is an abundant number, since it is smaller than the sum of its proper divisors (50921686265360).

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

23361102189040 is a wasteful number, since it uses less digits than its factorization.

23361102189040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 23361102189040 in words is "twenty-three trillion, three hundred sixty-one billion, one hundred two million, one hundred eighty-nine thousand, forty".