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5170541652 = 22324117320249
BaseRepresentation
bin1001101000011000…
…00011010001010100
3111100100021201201200
410310030003101110
541042124313102
62213022352500
7242062610313
oct46414032124
914310251650
105170541652
1122136aa521
12100372b730
136452a0603
143709b627a
15203de251c
hex134303454

5170541652 has 72 divisors (see below), whose sum is σ = 13466817000. Its totient is φ = 1671674880.

The previous prime is 5170541647. The next prime is 5170541683. The reversal of 5170541652 is 2561450715.

5170541652 is a `hidden beast` number, since 51 + 7 + 0 + 541 + 65 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 304642116 + 4865899536 = 17454^2 + 69756^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245224 + ... + 265472.

It is an arithmetic number, because the mean of its divisors is an integer number (187039125).

Almost surely, 25170541652 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 5170541652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6733408500).

5170541652 is an abundant number, since it is smaller than the sum of its proper divisors (8296275348).

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

5170541652 is a wasteful number, since it uses less digits than its factorization.

5170541652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20473 (or 20468 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5170541652 is about 71906.4785120228. The cubic root of 5170541652 is about 1729.2004783412.

The spelling of 5170541652 in words is "five billion, one hundred seventy million, five hundred forty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 173 246 346 369 492 519 692 738 1038 1476 1557 2076 3114 6228 7093 14186 20249 21279 28372 40498 42558 60747 63837 80996 85116 121494 127674 182241 242988 255348 364482 728964 830209 1660418 2490627 3320836 3503077 4981254 7006154 7471881 9962508 10509231 14012308 14943762 21018462 29887524 31527693 42036924 63055386 126110772 143626157 287252314 430878471 574504628 861756942 1292635413 1723513884 2585270826 5170541652