Search a number
-
+
10045017052 = 2273171921193
BaseRepresentation
bin10010101101011101…
…01100101111011100
3221221001110201220121
421112232230233130
5131033011021202
64340431324324
7503632144000
oct112656545734
927831421817
1010045017052
114295171a94
121b440806a4
13c4111c795
146b4120700
153dbd01537
hex256bacbdc

10045017052 has 144 divisors (see below), whose sum is σ = 22927665600. Its totient is φ = 3835302912.

The previous prime is 10045017007. The next prime is 10045017061. The reversal of 10045017052 is 25071054001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8419368 + ... + 8420560.

It is an arithmetic number, because the mean of its divisors is an integer number (159219900).

Almost surely, 210045017052 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 10045017052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463832800).

10045017052 is an abundant number, since it is smaller than the sum of its proper divisors (12882648548).

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

10045017052 is a wasteful number, since it uses less digits than its factorization.

10045017052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The spelling of 10045017052 in words is "ten billion, forty-five million, seventeen thousand, fifty-two".

Divisors: 1 2 4 7 14 17 19 28 34 38 49 68 76 98 119 133 196 238 266 323 343 361 476 532 646 686 722 833 931 1193 1292 1372 1444 1666 1862 2261 2386 2527 3332 3724 4522 4772 5054 5831 6137 6517 8351 9044 10108 11662 12274 13034 15827 16702 17689 20281 22667 23324 24548 26068 31654 33404 35378 40562 42959 45334 58457 63308 70756 81124 85918 90668 110789 116914 123823 141967 158669 171836 221578 233828 247646 283934 300713 317338 385339 409199 430673 443156 495292 567868 601426 634676 770678 818398 861346 993769 1110683 1202852 1541356 1636796 1722692 1987538 2104991 2221366 2697373 3014711 3975076 4209982 4442732 5394746 6029422 6956383 7321441 7774781 8419964 10789492 12058844 13912766 14642882 15549562 18881611 21102977 27825532 29285764 31099124 37763222 42205954 51250087 75526444 84411908 102500174 132171277 147720839 205000348 264342554 295441678 358750609 528685108 590883356 717501218 1435002436 2511254263 5022508526 10045017052