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23049432576 = 2935229809
BaseRepresentation
bin10101011101110110…
…100110111000000000
32012111100120111100000
4111131312212320000
5334201123320301
614331101200000
71444120641612
oct253566467000
965440514300
1023049432576
119858892935
124573260000
1322343a9201
1411892b8db2
158ed826786
hex55dda6e00

23049432576 has 240 divisors, whose sum is σ = 69372903600. Its totient is φ = 7640137728.

The previous prime is 23049432563. The next prime is 23049432617. The reversal of 23049432576 is 67523494032.

23049432576 is a `hidden beast` number, since 2 + 3 + 0 + 49 + 4 + 32 + 576 = 666.

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 23 ways as a sum of consecutive naturals, for example, 28490860 + ... + 28491668.

It is an arithmetic number, because the mean of its divisors is an integer number (289053765).

Almost surely, 223049432576 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 23049432576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34686451800).

23049432576 is an abundant number, since it is smaller than the sum of its proper divisors (46323471024).

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

23049432576 is an frugal number, since it uses more digits than its factorization.

23049432576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

It can be divided in two parts, 23049 and 432576, that added together give a square (455625 = 6752).

The spelling of 23049432576 in words is "twenty-three billion, forty-nine million, four hundred thirty-two thousand, five hundred seventy-six".