Search a number
-
+
45035143008 = 2532342594789
BaseRepresentation
bin101001111100010011…
…011011111101100000
311022020120120022012120
4221330103123331200
51214212444034013
632404443224240
73153004254012
oct517423337540
9138216508176
1045035143008
1118110189559
12888a218080
13432929701b
1422731ba1b2
151288a81123
hexa7c4dbf60

45035143008 has 96 divisors (see below), whose sum is σ = 123411859200. Its totient is φ = 14352662016.

The previous prime is 45035142989. The next prime is 45035143061. The reversal of 45035143008 is 80034153054.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×450351430082 (a number of 22 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 45035143008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9401478 + ... + 9406266.

It is an arithmetic number, because the mean of its divisors is an integer number (1285540200).

Almost surely, 245035143008 is an apocalyptic number.

45035143008 is a gapful number since it is divisible by the number (48) 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 45035143008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61705929600).

45035143008 is an abundant number, since it is smaller than the sum of its proper divisors (78376716192).

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

45035143008 is a wasteful number, since it uses less digits than its factorization.

45035143008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9084 (or 9076 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 45035143008 in words is "forty-five billion, thirty-five million, one hundred forty-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 4259 4789 8518 9578 12777 14367 17036 19156 25554 28734 34072 38312 51108 57468 68144 76624 97957 102216 110147 114936 136288 153248 195914 204432 220294 229872 293871 330441 391828 408864 440588 459744 587742 660882 783656 881176 1175484 1321764 1567312 1762352 2350968 2643528 3134624 3524704 4701936 5287056 9403872 10574112 20396351 40792702 61189053 81585404 122378106 163170808 244756212 326341616 469116073 489512424 652683232 938232146 979024848 1407348219 1876464292 1958049696 2814696438 3752928584 5629392876 7505857168 11258785752 15011714336 22517571504 45035143008