Search a number
-
+
23036693526 = 232711193128219
BaseRepresentation
bin10101011101000110…
…000000110000010110
32012110110121021122100
4111131012000300112
5334134343143101
614325524142530
71443604443540
oct253506006026
965413537570
1023036693526
1198516818a0
12456ab37a46
132231868a02
141187720690
158ec65be86
hex55d180c16

23036693526 has 192 divisors, whose sum is σ = 67619635200. Its totient is φ = 5485579200.

The previous prime is 23036693509. The next prime is 23036693531. The reversal of 23036693526 is 62539663032.

23036693526 is a `hidden beast` number, since 2 + 3 + 0 + 36 + 6 + 93 + 526 = 666.

It is a super-3 number, since 3×230366935263 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 802245 + ... + 830463.

It is an arithmetic number, because the mean of its divisors is an integer number (352185600).

Almost surely, 223036693526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23036693526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33809817600).

23036693526 is an abundant number, since it is smaller than the sum of its proper divisors (44582941674).

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

23036693526 is a wasteful number, since it uses less digits than its factorization.

23036693526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28295 (or 28292 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 23036693526 in words is "twenty-three billion, thirty-six million, six hundred ninety-three thousand, five hundred twenty-six".