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1074503354652 = 22327133023108499
BaseRepresentation
bin11111010001011010110…
…01000000100100011100
310210201110222121222120200
433220231121000210130
5120101040324322102
62141341531543500
7140426123550360
oct17505531004434
93721428558520
101074503354652
11384770149a72
121542b4bbab90
137a42c6c2890
143a01319d2a0
151ce3c3c951c
hexfa2d64091c

1074503354652 has 144 divisors (see below), whose sum is σ = 3344035968000. Its totient is φ = 283289145984.

The previous prime is 1074503354651. The next prime is 1074503354671. The reversal of 1074503354652 is 2564533054701.

1074503354652 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 50 + 3 + 3 + 546 + 52 = 666.

It is a super-2 number, since 2×10745033546522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1074503354598 and 1074503354607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074503354651) 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, 9849099 + ... + 9957597.

It is an arithmetic number, because the mean of its divisors is an integer number (23222472000).

Almost surely, 21074503354652 is an apocalyptic number.

1074503354652 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 1074503354652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672017984000).

1074503354652 is an abundant number, since it is smaller than the sum of its proper divisors (2269532613348).

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

1074503354652 is a wasteful number, since it uses less digits than its factorization.

1074503354652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111552 (or 111547 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 1074503354652 in words is "one trillion, seventy-four billion, five hundred three million, three hundred fifty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3023 3276 6046 9069 12092 18138 21161 27207 36276 39299 42322 54414 63483 78598 84644 108499 108828 117897 126966 157196 190449 216998 235794 253932 275093 325497 353691 380898 433996 471588 550186 650994 707382 759493 761796 825279 976491 1100372 1301988 1410487 1414764 1518986 1650558 1952982 2278479 2475837 2820974 3037972 3301116 3905964 4231461 4556958 4951674 5641948 6835437 8462922 9113916 9873409 9903348 12694383 13670874 16925844 19746818 25388766 27341748 29620227 39493636 50777532 59240454 88860681 118480908 177721362 327992477 355442724 655984954 983977431 1311969908 1967954862 2295947339 2951932293 3935909724 4263902201 4591894678 5903864586 6887842017 8527804402 9183789356 11807729172 12791706603 13775684034 17055608804 20663526051 25583413206 27551368068 29847315407 38375119809 41327052102 51166826412 59694630814 76750239618 82654104204 89541946221 119389261628 153500479236 179083892442 268625838663 358167784884 537251677326 1074503354652