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1363786098012 = 22321329574317497
BaseRepresentation
bin10011110110000111111…
…111000110010101011100
311211101011121010222001200
4103312013333012111130
5134321013220114022
62522303101035500
7200346614364612
oct23660777062534
94741147128050
101363786098012
11486418775778
121a0389255b90
139b7b20620c0
144a016bd16b2
152571dc49bac
hex13d87fc655c

1363786098012 has 144 divisors (see below), whose sum is σ = 3841435328640. Its totient is φ = 405062913024.

The previous prime is 1363786098011. The next prime is 1363786098029. The reversal of 1363786098012 is 2108906873631.

1363786098012 is a `hidden beast` number, since 13 + 6 + 3 + 7 + 8 + 609 + 8 + 0 + 12 = 666.

It is a super-2 number, since 2×13637860980122 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1363786098012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363786098011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77935248 + ... + 77952744.

Almost surely, 21363786098012 is an apocalyptic number.

1363786098012 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 1363786098012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920717664320).

1363786098012 is an abundant number, since it is smaller than the sum of its proper divisors (2477649230628).

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

1363786098012 is a wasteful number, since it uses less digits than its factorization.

1363786098012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23292 (or 23287 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1363786098012 in words is "one trillion, three hundred sixty-three billion, seven hundred eighty-six million, ninety-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 5743 6786 11486 13572 17229 17497 22972 34458 34994 51687 52491 68916 69988 74659 103374 104982 149318 157473 166547 206748 209964 223977 227461 298636 314946 333094 447954 454922 499641 507413 629892 666188 671931 682383 895908 909844 999282 1014826 1343862 1364766 1498923 1522239 1998564 2029652 2047149 2165111 2687724 2729532 2997846 3044478 4094298 4330222 4566717 5995692 6088956 6495333 6596369 8188596 8660444 9133434 12990666 13192738 18266868 19485999 19789107 25981332 26385476 38971998 39578214 59367321 77943996 79156428 100485271 118734642 200970542 237469284 301455813 401941084 602911626 904367439 1205823252 1306308523 1808734878 2612617046 2914072859 3617469756 3918925569 5225234092 5828145718 7837851138 8742218577 11656291436 11756776707 15675702276 17484437154 23513553414 26226655731 34968874308 37882947167 47027106828 52453311462 75765894334 104906622924 113648841501 151531788668 227297683002 340946524503 454595366004 681893049006 1363786098012