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5061715560 = 23325112116201
BaseRepresentation
bin1001011011011001…
…11010011001101000
3111001202111210101200
410231230322121220
540331244344220
62154134044200
7236301605136
oct45554723150
914052453350
105061715560
11216822a900
12b931a9660
13628889685
14360368756
151e9597890
hex12db3a668

5061715560 has 144 divisors (see below), whose sum is σ = 18082193220. Its totient is φ = 1227072000.

The previous prime is 5061715543. The next prime is 5061715579. The reversal of 5061715560 is 655171605.

It can be written as a sum of positive squares in 2 ways, for example, as 4922144964 + 139570596 = 70158^2 + 11814^2 .

It is a super-2 number, since 2×50617155602 = 51241928820692227200, which contains 22 as substring.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 14541 + ... + 101660.

Almost surely, 25061715560 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 5061715560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9041096610).

5061715560 is an abundant number, since it is smaller than the sum of its proper divisors (13020477660).

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

5061715560 is a wasteful number, since it uses less digits than its factorization.

5061715560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116240 (or 116222 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 5061715560 is about 71145.7346578135. The cubic root of 5061715560 is about 1716.9826718770.

The spelling of 5061715560 in words is "five billion, sixty-one million, seven hundred fifteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 116201 232402 348603 464804 581005 697206 929608 1045809 1162010 1278211 1394412 1743015 2091618 2324020 2556422 2788824 3486030 3834633 4183236 4648040 5112844 5229045 6391055 6972060 7669266 8366472 10225688 10458090 11503899 12782110 13944120 14060321 15338532 19173165 20916180 23007798 25564220 28120642 30677064 38346330 41832360 42180963 46015596 51128440 56241284 57519495 70301605 76692660 84361926 92031192 112482568 115038990 126542889 140603210 153385320 168723852 210904815 230077980 253085778 281206420 337447704 421809630 460155960 506171556 562412840 632714445 843619260 1012343112 1265428890 1687238520 2530857780 5061715560