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535011413540 = 225175928199461
BaseRepresentation
bin1111100100100010010…
…10100100111000100100
31220010221212100210121112
413302101022210320210
532231200410213130
61045440355204152
753440036660322
oct7622112447044
91803855323545
10535011413540
11196995aa470a
12878322a6658
133b5b3839816
141bc75060d12
15ddb46ba495
hex7c912a4e24

535011413540 has 96 divisors (see below), whose sum is σ = 1210333622400. Its totient is φ = 197911070720.

The previous prime is 535011413539. The next prime is 535011413543. The reversal of 535011413540 is 45314110535.

It is a junction number, because it is equal to n+sod(n) for n = 535011413497 and 535011413506.

It is not an unprimeable number, because it can be changed into a prime (535011413543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56544410 + ... + 56553870.

It is an arithmetic number, because the mean of its divisors is an integer number (12607641900).

Almost surely, 2535011413540 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 535011413540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605166811200).

535011413540 is an abundant number, since it is smaller than the sum of its proper divisors (675322208860).

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

535011413540 is a wasteful number, since it uses less digits than its factorization.

535011413540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12365 (or 12363 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 535011413540 in words is "five hundred thirty-five billion, eleven million, four hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 295 340 590 1003 1180 2006 2819 4012 5015 5638 9461 10030 11276 14095 18922 20060 28190 37844 47305 47923 56380 94610 95846 160837 166321 189220 191692 239615 321674 332642 479230 558199 643348 665284 804185 831605 958460 1116398 1608370 1663210 2232796 2790995 2827457 3216740 3326420 5581990 5654914 9489383 11163980 11309828 14137285 18978766 26670559 28274570 37957532 47446915 53341118 56549140 94893830 106682236 133352795 189787660 266705590 453399503 533411180 906799006 1573562981 1813598012 2266997515 3147125962 4533995030 6294251924 7867814905 9067990060 15735629810 26750570677 31471259620 53501141354 107002282708 133752853385 267505706770 535011413540