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23152400511312 = 2432288412107759
BaseRepresentation
bin1010100001110100101101…
…00110111011000101010000
310000222100101121011220102210
411100322112212323011100
511013312104012330222
6121124022125312120
74606464032163342
oct520722646730520
9100870347156383
1023152400511312
117416972563606
12271b110105640
13cbc3537ca687
145a0821659292
152a23a8cd1d0c
hex150e969bb150

23152400511312 has 40 divisors (see below), whose sum is σ = 59810657726080. Its totient is φ = 7717429451520.

The previous prime is 23152400511311. The next prime is 23152400511343. The reversal of 23152400511312 is 21311500425132.

It is a happy number.

It is a super-2 number, since 2×231524005113122 (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 23152400511312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23152400511311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9930489 + ... + 12038247.

It is an arithmetic number, because the mean of its divisors is an integer number (1495266443152).

Almost surely, 223152400511312 is an apocalyptic number.

It is an amenable number.

23152400511312 is an abundant number, since it is smaller than the sum of its proper divisors (36658257214768).

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

23152400511312 is a wasteful number, since it uses less digits than its factorization.

23152400511312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336611 (or 2336605 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 23152400511312 its reverse (21311500425132), we get a palindrome (44463900936444).

The spelling of 23152400511312 in words is "twenty-three trillion, one hundred fifty-two billion, four hundred million, five hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 228841 457682 686523 915364 1373046 1830728 2107759 2746092 3661456 4215518 5492184 6323277 8431036 10984368 12646554 16862072 25293108 33724144 50586216 101172432 482341677319 964683354638 1447025031957 1929366709276 2894050063914 3858733418552 5788100127828 7717466837104 11576200255656 23152400511312