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1361260101636 = 22321132114213767
BaseRepresentation
bin10011110011110001011…
…011001100000000000100
311211010122120001001110100
4103303301123030000010
5134300330041223021
62521204304124100
7200230202643651
oct23636133140004
94733576031410
101361260101636
11485341926266
1219b9a3306630
139b49b9300a6
1449c57534c28
15256220d6626
hex13cf16cc004

1361260101636 has 144 divisors (see below), whose sum is σ = 3497079051648. Its totient is φ = 446424652800.

The previous prime is 1361260101601. The next prime is 1361260101647. The reversal of 1361260101636 is 6361010621631.

1361260101636 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 2 + 6 + 0 + 10 + 1 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1361260101636.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361362625 + ... + 361366391.

It is an arithmetic number, because the mean of its divisors is an integer number (24285271192).

Almost surely, 21361260101636 is an apocalyptic number.

It is an amenable number.

1361260101636 is an abundant number, since it is smaller than the sum of its proper divisors (2135818950012).

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

1361260101636 is a wasteful number, since it uses less digits than its factorization.

1361260101636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 1361260101636 in words is "one trillion, three hundred sixty-one billion, two hundred sixty million, one hundred one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 113 211 226 339 421 422 452 633 678 842 844 1017 1263 1266 1356 1684 1899 2034 2526 2532 3767 3789 3798 4068 5052 7534 7578 7596 11301 15068 15156 22602 23843 33903 45204 47573 47686 67806 71529 88831 95146 95372 135612 142719 143058 177662 190292 214587 266493 285438 286116 355324 425671 428157 429174 532986 570876 794837 799479 851342 856314 858348 1065972 1277013 1585907 1589674 1598958 1702684 1712628 2384511 2554026 3171814 3179348 3197916 3831039 4757721 4769022 5108052 6343628 7153533 7662078 9515442 9538044 10037903 14273163 14307066 15324156 19030884 20075806 28546326 28614132 30113709 40151612 57092652 60227418 89816581 90341127 120454836 179207491 179633162 180682254 269449743 334626377 358414982 359266324 361364508 537622473 538899486 669252754 716829964 808349229 1003879131 1075244946 1077798972 1338505508 1612867419 1616698458 2007758262 2150489892 3011637393 3225734838 3233396916 4015516524 6023274786 6451469676 12046549572 37812780601 75625561202 113438341803 151251122404 226876683606 340315025409 453753367212 680630050818 1361260101636