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23067632952 = 23347133112619
BaseRepresentation
bin10101011110111100…
…000010010100111000
32012112121211011120000
4111132330002110320
5334220303223302
614332551233000
71444431434130
oct253674022470
965477734500
1023067632952
119868094071
124579378760
1322380ac470
14118b895ac0
1590021e31c
hex55ef02538

23067632952 has 320 divisors, whose sum is σ = 82092595200. Its totient is φ = 5887054080.

The previous prime is 23067632923. The next prime is 23067632957. The reversal of 23067632952 is 25923676032.

23067632952 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 7 + 632 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23067632898 and 23067632907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23067632957) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1821699 + ... + 1834317.

It is an arithmetic number, because the mean of its divisors is an integer number (256539360).

Almost surely, 223067632952 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 23067632952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41046297600).

23067632952 is an abundant number, since it is smaller than the sum of its proper divisors (59024962248).

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

23067632952 is a wasteful number, since it uses less digits than its factorization.

23067632952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12688 (or 12675 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 23067632952 in words is "twenty-three billion, sixty-seven million, six hundred thirty-two thousand, nine hundred fifty-two".