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1019050245564 = 2231317421791121
BaseRepresentation
bin11101101010001000010…
…00001011110110111100
310121102100100211011120120
432311010020023312330
5113144003330324224
62100051211214540
7133424005111401
oct16650410136674
93542310734516
101019050245564
113631a432a39a
121455b9a47450
1375132c793b0
14374725402a8
151b793e28779
hexed4420bdbc

1019050245564 has 96 divisors (see below), whose sum is σ = 2711991917376. Its totient is φ = 295036354560.

The previous prime is 1019050245533. The next prime is 1019050245571. The reversal of 1019050245564 is 4655420509101.

It is a happy number.

1019050245564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11137924 + ... + 11229044.

It is an arithmetic number, because the mean of its divisors is an integer number (28249915806).

Almost surely, 21019050245564 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 1019050245564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355995958688).

1019050245564 is an abundant number, since it is smaller than the sum of its proper divisors (1692941671812).

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

1019050245564 is a wasteful number, since it uses less digits than its factorization.

1019050245564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95375 (or 95373 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 1019050245564 in words is "one trillion, nineteen billion, fifty million, two hundred forty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 4217 8434 12651 16868 25302 50604 54821 71689 91121 109642 143378 164463 182242 215067 219284 273363 286756 328926 364484 430134 546726 657852 860268 931957 1093452 1184573 1549057 1863914 2369146 2795871 3098114 3553719 3727828 4647171 4738292 5591742 6196228 7107438 9294342 11183484 14214876 18588684 20137741 40275482 60413223 80550964 120826446 241652892 384257257 768514514 1152771771 1537029028 2305543542 4611087084 4995344341 6532373369 9990688682 13064746738 14986033023 19597120107 19981377364 26129493476 29972066046 39194240214 59944132092 78388480428 84920853797 169841707594 254762561391 339683415188 509525122782 1019050245564