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5800816872 = 23322918115349
BaseRepresentation
bin1010110011100000…
…10111000011101000
3112222021021000210100
411121300113003220
543340002114442
62355335345400
7263515062354
oct53160270350
915867230710
105800816872
112507456634
12115a822260
13715a39526
143d05a0464
1523e3e084c
hex159c170e8

5800816872 has 96 divisors (see below), whose sum is σ = 16343145000. Its totient is φ = 1856494080.

The previous prime is 5800816871. The next prime is 5800816921. The reversal of 5800816872 is 2786180085.

5800816872 is a `hidden beast` number, since 580 + 0 + 8 + 1 + 68 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2780874756 + 3019942116 = 52734^2 + 54954^2 .

It is not an unprimeable number, because it can be changed into a prime (5800816871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370254 + ... + 385602.

Almost surely, 25800816872 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 5800816872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171572500).

5800816872 is an abundant number, since it is smaller than the sum of its proper divisors (10542328128).

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

5800816872 is a wasteful number, since it uses less digits than its factorization.

5800816872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15571 (or 15564 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 5800816872 is about 76163.0938972413. The cubic root of 5800816872 is about 1796.7861243430.

The spelling of 5800816872 in words is "five billion, eight hundred million, eight hundred sixteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 181 232 261 348 362 522 543 696 724 1044 1086 1448 1629 2088 2172 3258 4344 5249 6516 10498 13032 15349 15747 20996 30698 31494 41992 46047 47241 61396 62988 92094 94482 122792 125976 138141 184188 188964 276282 368376 377928 445121 552564 890242 1105128 1335363 1780484 2670726 2778169 3560968 4006089 5341452 5556338 8012178 8334507 10682904 11112676 16024356 16669014 22225352 25003521 32048712 33338028 50007042 66676056 80566901 100014084 161133802 200028168 241700703 322267604 483401406 644535208 725102109 966802812 1450204218 1933605624 2900408436 5800816872