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23152540221304 = 23132154326574177
BaseRepresentation
bin1010100001110100111101…
…11011110111111101111000
310000222100202100001220111221
411100322132323313331320
511013312400244040204
6121124044040001424
74606500346535164
oct520723673677570
9100870670056457
1023152540221304
117416a3440780a
12271b14aa60274
13cbc376735a00
145a0836025ca4
152a23b61cc654
hex150e9eef7f78

23152540221304 has 96 divisors (see below), whose sum is σ = 47066624946720. Its totient is φ = 10672287694848.

The previous prime is 23152540221289. The next prime is 23152540221323. The reversal of 23152540221304 is 40312204525132.

It is a self number, because there is not a number n which added to its sum of digits gives 23152540221304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5542861264 + ... + 5542865440.

It is an arithmetic number, because the mean of its divisors is an integer number (490277343195).

Almost surely, 223152540221304 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 23152540221304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23533312473360).

23152540221304 is an abundant number, since it is smaller than the sum of its proper divisors (23914084725416).

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

23152540221304 is a wasteful number, since it uses less digits than its factorization.

23152540221304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8409 (or 8392 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 23152540221304 its reverse (40312204525132), we get a palindrome (63464744746436).

The spelling of 23152540221304 in words is "twenty-three trillion, one hundred fifty-two billion, five hundred forty million, two hundred twenty-one thousand, three hundred four".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 1543 2657 3086 4177 5314 6172 8354 10628 12344 16708 20059 21256 33416 34541 40118 54301 69082 80236 108602 138164 160472 217204 260767 276328 434408 449033 521534 705913 898066 1043068 1411826 1796132 2086136 2823652 3592264 4099751 5647304 6445111 8199502 11098289 12890222 16399004 22196578 25780444 32798008 44393156 51560888 53296763 83786443 88786312 106593526 144277757 167572886 213187052 288555514 335145772 426374104 577111028 670291544 692857919 1089223759 1154222056 1385715838 1875610841 2178447518 2771431676 3751221682 4356895036 5542863352 7502443364 8713790072 15004886728 17124659927 34249319854 68498639708 136997279416 222620579051 445241158102 890482316204 1780964632408 2894067527663 5788135055326 11576270110652 23152540221304