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45946323520 = 265236599473
BaseRepresentation
bin101010110010100111…
…010100001001000000
311101121002010001212221
4222302213110021000
51223044224323040
633035113100424
73214410206656
oct526247241100
9141532101787
1045946323520
11185385579a9
128aa33b7714
134442ca66a6
14231c206dd6
1512dda6a74a
hexab29d4240

45946323520 has 112 divisors (see below), whose sum is σ = 114351937920. Its totient is φ = 17550934016.

The previous prime is 45946323491. The next prime is 45946323523. The reversal of 45946323520 is 2532364954.

It is a super-2 number, since 2×459463235202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45946323523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4845504 + ... + 4854976.

Almost surely, 245946323520 is an apocalyptic number.

45946323520 is a gapful number since it is divisible by the number (40) 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 45946323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57175968960).

45946323520 is an abundant number, since it is smaller than the sum of its proper divisors (68405614400).

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

45946323520 is a wasteful number, since it uses less digits than its factorization.

45946323520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10172 (or 10162 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 45946323520 in words is "forty-five billion, nine hundred forty-six million, three hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 659 736 920 1318 1472 1840 2636 3295 3680 5272 6590 7360 9473 10544 13180 15157 18946 21088 26360 30314 37892 42176 47365 52720 60628 75784 75785 94730 105440 121256 151568 151570 189460 210880 217879 242512 303136 303140 378920 435758 485024 606272 606280 757840 871516 970048 1089395 1212560 1515680 1743032 2178790 2425120 3031360 3486064 4357580 4850240 6242707 6972128 8715160 12485414 13944256 17430320 24970828 31213535 34860640 49941656 62427070 69721280 99883312 124854140 143582261 199766624 249708280 287164522 399533248 499416560 574329044 717911305 998833120 1148658088 1435822610 1997666240 2297316176 2871645220 4594632352 5743290440 9189264704 11486580880 22973161760 45946323520