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23267393484216 = 233721931734211093
BaseRepresentation
bin1010100101001010111001…
…01110010011010110111000
310001101100012122202012000020
411102211130232103112320
511022203110212443331
6121252520520010440
74621004462263200
oct522453456232670
9101340178665006
1023267393484216
117460712051102
122739463000a20
13cca14b5657cb
145a620d9d1400
152a53893e3c96
hex15295cb935b8

23267393484216 has 768 divisors, whose sum is σ = 74776919961600. Its totient is φ = 5991526195200.

The previous prime is 23267393484169. The next prime is 23267393484233. The reversal of 23267393484216 is 61248439376232.

It is a happy number.

It is a super-2 number, since 2×232673934842162 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23267393484216.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 21287642166 + ... + 21287643258.

It is an arithmetic number, because the mean of its divisors is an integer number (97365781200).

Almost surely, 223267393484216 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 23267393484216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37388459980800).

23267393484216 is an abundant number, since it is smaller than the sum of its proper divisors (51509526477384).

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

23267393484216 is a wasteful number, since it uses less digits than its factorization.

23267393484216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1649 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 60.

The spelling of 23267393484216 in words is "twenty-three trillion, two hundred sixty-seven billion, three hundred ninety-three million, four hundred eighty-four thousand, two hundred sixteen".