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23112585280 = 2651722918553
BaseRepresentation
bin10101100001100111…
…100001000001000000
32012122202101222120001
4111201213201001000
5334313310212110
614341234525344
71445515506361
oct254147410100
965582358501
1023112585280
1198904a7454
124590436854
1322444bb185
141193837b68
1590414d63a
hex5619e1040

23112585280 has 112 divisors (see below), whose sum is σ = 58531932720. Its totient is φ = 8662745088.

The previous prime is 23112585257. The next prime is 23112585323. The reversal of 23112585280 is 8258521132.

It can be written as a sum of positive squares in 8 ways, for example, as 127599616 + 22984985664 = 11296^2 + 151608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1236484 + ... + 1255036.

Almost surely, 223112585280 is an apocalyptic number.

23112585280 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 23112585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29265966360).

23112585280 is an abundant number, since it is smaller than the sum of its proper divisors (35419347440).

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

23112585280 is a wasteful number, since it uses less digits than its factorization.

23112585280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18816 (or 18806 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 23112585280 in words is "twenty-three billion, one hundred twelve million, five hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 229 272 320 340 458 544 680 916 1088 1145 1360 1832 2290 2720 3664 3893 4580 5440 7328 7786 9160 14656 15572 18320 18553 19465 31144 36640 37106 38930 62288 73280 74212 77860 92765 124576 148424 155720 185530 249152 296848 311440 315401 371060 593696 622880 630802 742120 1187392 1245760 1261604 1484240 1577005 2523208 2968480 3154010 4248637 5046416 5936960 6308020 8497274 10092832 12616040 16994548 20185664 21243185 25232080 33989096 42486370 50464160 67978192 72226829 84972740 100928320 135956384 144453658 169945480 271912768 288907316 339890960 361134145 577814632 679781920 722268290 1155629264 1359563840 1444536580 2311258528 2889073160 4622517056 5778146320 11556292640 23112585280