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13601750112 = 2532735931091
BaseRepresentation
bin11001010101011101…
…00011110001100000
31022002221002111102200
430222232203301200
5210324022000422
610125404413200
7661030653066
oct145256436140
938087074380
1013601750112
11584a9191a5
122777247200
131389c61062
1493064a036
155491b82ac
hex32aba3c60

13601750112 has 144 divisors (see below), whose sum is σ = 39311960688. Its totient is φ = 4460175360.

The previous prime is 13601750101. The next prime is 13601750131. The reversal of 13601750112 is 21105710631.

13601750112 is a `hidden beast` number, since 1 + 3 + 601 + 7 + 50 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×136017501122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12466687 + ... + 12467777.

It is an arithmetic number, because the mean of its divisors is an integer number (272999727).

Almost surely, 213601750112 is an apocalyptic number.

13601750112 is a gapful number since it is divisible by the number (12) 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 13601750112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19655980344).

13601750112 is an abundant number, since it is smaller than the sum of its proper divisors (25710210576).

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

13601750112 is a wasteful number, since it uses less digits than its factorization.

13601750112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 13601750112 in words is "thirteen billion, six hundred one million, seven hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 593 657 876 1091 1168 1186 1314 1752 1779 2182 2336 2372 2628 3273 3504 3558 4364 4744 5256 5337 6546 7008 7116 8728 9488 9819 10512 10674 13092 14232 17456 18976 19638 21024 21348 26184 28464 34912 39276 42696 43289 52368 56928 78552 79643 85392 86578 104736 129867 157104 159286 170784 173156 238929 259734 314208 318572 346312 389601 477858 519468 637144 646963 692624 716787 779202 955716 1038936 1274288 1293926 1385248 1433574 1558404 1911432 1940889 2077872 2548576 2587852 2867148 3116808 3822864 3881778 4155744 5175704 5734296 5822667 6233616 7645728 7763556 10351408 11468592 11645334 12467232 15527112 20702816 22937184 23290668 31054224 46581336 47228299 62108448 93162672 94456598 141684897 186325344 188913196 283369794 377826392 425054691 566739588 755652784 850109382 1133479176 1511305568 1700218764 2266958352 3400437528 4533916704 6800875056 13601750112