Search a number
-
+
45050696316 = 2235435918269
BaseRepresentation
bin101001111101001110…
…110001001001111100
311022021122211111100000
4221331032301021330
51214230434240231
632410200434300
73153253412643
oct517516611174
9138248744300
1045050696316
1118118a41a2a
128893478990
13432c581472
1422752a835a
15128a1046e6
hexa7d3b127c

45050696316 has 144 divisors (see below), whose sum is σ = 122897174400. Its totient is φ = 14418274752.

The previous prime is 45050696309. The next prime is 45050696329. The reversal of 45050696316 is 61369605054.

45050696316 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 0 + 6 + 9 + 631 + 6 = 666.

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, 2456830 + ... + 2475098.

It is an arithmetic number, because the mean of its divisors is an integer number (853452600).

Almost surely, 245050696316 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 45050696316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61448587200).

45050696316 is an abundant number, since it is smaller than the sum of its proper divisors (77846478084).

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

45050696316 is a wasteful number, since it uses less digits than its factorization.

45050696316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18390 (or 18376 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 45050696316 in words is "forty-five billion, fifty million, six hundred ninety-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 59 81 86 108 118 129 162 172 177 236 243 258 324 354 387 486 516 531 708 774 972 1062 1161 1548 1593 2124 2322 2537 3186 3483 4644 4779 5074 6372 6966 7611 9558 10148 10449 13932 14337 15222 18269 19116 20898 22833 28674 30444 36538 41796 45666 54807 57348 68499 73076 91332 109614 136998 164421 205497 219228 273996 328842 410994 493263 616491 657684 785567 821988 986526 1077871 1232982 1479789 1571134 1973052 2155742 2356701 2465964 2959578 3142268 3233613 4311484 4439367 4713402 5919156 6467226 7070103 8878734 9426804 9700839 12934452 14140206 17757468 19401678 21210309 28280412 29102517 38803356 42420618 46348453 58205034 63630927 84841236 87307551 92696906 116410068 127261854 139045359 174615102 185393812 190892781 254523708 261922653 278090718 349230204 381785562 417136077 523845306 556181436 763571124 834272154 1047690612 1251408231 1668544308 2502816462 3754224693 5005632924 7508449386 11262674079 15016898772 22525348158 45050696316