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13060261145632 = 252919772119907
BaseRepresentation
bin1011111000001101010000…
…1110011110110000100000
31201020112211001110220111011
42332003110032132300200
53202434403323130012
643435445014030304
72515400306031541
oct276032416366040
951215731426434
1013060261145632
114185909a33398
12156b1bb048394
1373976755b13c
143321974564c8
15179ad9cc11a7
hexbe0d439ec20

13060261145632 has 96 divisors (see below), whose sum is σ = 26740449933120. Its totient is φ = 6271445806080.

The previous prime is 13060261145629. The next prime is 13060261145707. The reversal of 13060261145632 is 23654116206031.

It is a super-2 number, since 2×130602611456322 (a number of 27 digits) contains 22 as substring.

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, 1318281223 + ... + 1318291129.

It is an arithmetic number, because the mean of its divisors is an integer number (278546353470).

Almost surely, 213060261145632 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 13060261145632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13370224966560).

13060261145632 is an abundant number, since it is smaller than the sum of its proper divisors (13680188787488).

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

13060261145632 is a wasteful number, since it uses less digits than its factorization.

13060261145632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17354 (or 17346 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 13060261145632 in words is "thirteen trillion, sixty billion, two hundred sixty-one million, one hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 197 232 394 464 788 928 1576 3152 5713 6304 7211 9907 11426 14422 19814 22852 28844 39628 45704 57688 79256 91408 115376 158512 182816 209119 230752 287303 317024 418238 574606 836476 1149212 1420567 1672952 1951679 2298424 2841134 3345904 3903358 4596848 5682268 6691808 7806716 9193696 11364536 15613432 22729072 31226864 41196443 45458144 56598691 62453728 71439377 82392886 113197382 142878754 164785772 226394764 285757508 329571544 452789528 571515016 659143088 905579056 1143030032 1318286176 1811158112 2071741933 2286060064 4143483866 8286967732 14073557269 16573935464 28147114538 33147870928 56294229076 66295741856 112588458152 225176916304 408133160801 450353832608 816266321602 1632532643204 3265065286408 6530130572816 13060261145632