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23201263406460 = 223517293672137211
BaseRepresentation
bin1010100011001111101110…
…00100000100110101111100
310001011000111221100011110010
411101213313010010311330
511020112141413001320
6121202302510543220
74613143636013526
oct521476704046574
9101130457304403
1023201263406460
117435667378987
122728688207b10
13cc3b3cac7899
145a2d38d4ca16
152a37b8911ae0
hex1519f7104d7c

23201263406460 has 192 divisors, whose sum is σ = 71350737131520. Its totient is φ = 5606944788480.

The previous prime is 23201263406441. The next prime is 23201263406473. The reversal of 23201263406460 is 6460436210232.

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 63 ways as a sum of consecutive naturals, for example, 9787255 + ... + 11924465.

It is an arithmetic number, because the mean of its divisors is an integer number (371618422560).

Almost surely, 223201263406460 is an apocalyptic number.

23201263406460 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 23201263406460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35675368565760).

23201263406460 is an abundant number, since it is smaller than the sum of its proper divisors (48149473725060).

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

23201263406460 is a wasteful number, since it uses less digits than its factorization.

23201263406460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137636 (or 2137634 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

Adding to 23201263406460 its reverse (6460436210232), we get a palindrome (29661699616692).

The spelling of 23201263406460 in words is "twenty-three trillion, two hundred one billion, two hundred sixty-three million, four hundred six thousand, four hundred sixty".