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23023276540 = 225113127112457
BaseRepresentation
bin10101011100010010…
…110101000111111100
32012102112100121222221
4111130102311013330
5334122424322130
614324324415124
71443352423135
oct253422650774
965375317887
1023023276540
119845048480
1245665474a4
13222bb4ba74
141185a2ac8c
158eb3ab87a
hex55c4b51fc

23023276540 has 96 divisors (see below), whose sum is σ = 54650953728. Its totient is φ = 8071488000.

The previous prime is 23023276517. The next prime is 23023276553. The reversal of 23023276540 is 4567232032.

It is a junction number, because it is equal to n+sod(n) for n = 23023276496 and 23023276505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1841992 + ... + 1854448.

It is an arithmetic number, because the mean of its divisors is an integer number (569280768).

Almost surely, 223023276540 is an apocalyptic number.

23023276540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23023276540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27325476864).

23023276540 is an abundant number, since it is smaller than the sum of its proper divisors (31627677188).

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

23023276540 is a wasteful number, since it uses less digits than its factorization.

23023276540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12779 (or 12777 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 34.

The spelling of 23023276540 in words is "twenty-three billion, twenty-three million, two hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 271 310 341 542 620 682 1084 1355 1364 1705 2710 2981 3410 5420 5962 6820 8401 11924 12457 14905 16802 24914 29810 33604 42005 49828 59620 62285 84010 92411 124570 137027 168020 184822 249140 274054 369644 386167 462055 548108 685135 772334 924110 1370270 1544668 1848220 1930835 2740540 3375847 3861670 4247837 6751694 7723340 8495674 13503388 16879235 16991348 21239185 33758470 37134317 42478370 67516940 74268634 84956740 104651257 148537268 185671585 209302514 371343170 418605028 523256285 742686340 1046512570 1151163827 2093025140 2302327654 4604655308 5755819135 11511638270 23023276540