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23305383552 = 2731143128311
BaseRepresentation
bin10101101101000110…
…111110111010000000
32020011012012011001210
4111231012332322000
5340212134233202
614412323130120
71453346330433
oct255506767200
966135164053
1023305383552
11997a310670
124624b13940
1322754234a9
1411b12a381a
15916033c6c
hex56d1bee80

23305383552 has 128 divisors (see below), whose sum is σ = 69103710720. Its totient is φ = 6897945600.

The previous prime is 23305383523. The next prime is 23305383553. The reversal of 23305383552 is 25538350332.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 23305383552.

It is not an unprimeable number, because it can be changed into a prime (23305383553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117477 + ... + 245787.

It is an arithmetic number, because the mean of its divisors is an integer number (539872740).

Almost surely, 223305383552 is an apocalyptic number.

23305383552 is a gapful number since it is divisible by the number (22) 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 23305383552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34551855360).

23305383552 is an abundant number, since it is smaller than the sum of its proper divisors (45798327168).

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

23305383552 is a wasteful number, since it uses less digits than its factorization.

23305383552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128382 (or 128370 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 39.

The spelling of 23305383552 in words is "twenty-three billion, three hundred five million, three hundred eighty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 128 129 132 172 176 192 258 264 344 352 384 473 516 528 688 704 946 1032 1056 1376 1408 1419 1892 2064 2112 2752 2838 3784 4128 4224 5504 5676 7568 8256 11352 15136 16512 22704 30272 45408 60544 90816 128311 181632 256622 384933 513244 769866 1026488 1411421 1539732 2052976 2822842 3079464 4105952 4234263 5517373 5645684 6158928 8211904 8468526 11034746 11291368 12317856 16423808 16552119 16937052 22069492 22582736 24635712 33104238 33874104 44138984 45165472 49271424 60691103 66208476 67748208 88277968 90330944 121382206 132416952 135496416 176555936 180661888 182073309 242764412 264833904 270992832 353111872 364146618 485528824 529667808 541985664 706223744 728293236 971057648 1059335616 1456586472 1942115296 2118671232 2913172944 3884230592 5826345888 7768461184 11652691776 23305383552