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48432711060 = 22325715716637
BaseRepresentation
bin101101000110110100…
…001000010110010100
311122000100200122101100
4231012310020112110
51243142233223220
634125533030100
73333131152146
oct550664102624
9148010618340
1048432711060
11195a4003738
129478025330
13474b14ac16
1424b6512c96
1513d6ea7d90
hexb46d08594

48432711060 has 144 divisors (see below), whose sum is σ = 149265148032. Its totient is φ = 12709267200.

The previous prime is 48432711043. The next prime is 48432711071. The reversal of 48432711060 is 6011723484.

48432711060 is a `hidden beast` number, since 484 + 3 + 2 + 7 + 110 + 60 = 666.

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 47 ways as a sum of consecutive naturals, for example, 7294062 + ... + 7300698.

It is an arithmetic number, because the mean of its divisors is an integer number (1036563528).

Almost surely, 248432711060 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 48432711060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74632574016).

48432711060 is an abundant number, since it is smaller than the sum of its proper divisors (100832436972).

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

48432711060 is a wasteful number, since it uses less digits than its factorization.

48432711060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294 (or 7289 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 48432711060 in words is "forty-eight billion, four hundred thirty-two million, seven hundred eleven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 571 639 710 852 1065 1142 1278 1420 1713 2130 2284 2556 2855 3195 3426 4260 5139 5710 6390 6637 6852 8565 10278 11420 12780 13274 17130 19911 20556 25695 26548 33185 34260 39822 40541 51390 59733 66370 79644 81082 99555 102780 119466 121623 132740 162164 199110 202705 238932 243246 298665 364869 398220 405410 471227 486492 597330 608115 729738 810820 942454 1194660 1216230 1413681 1459476 1824345 1884908 2356135 2432460 2827362 3648690 3789727 4241043 4712270 5654724 7068405 7297380 7579454 8482086 9424540 11369181 14136810 15158908 16964172 18948635 21205215 22738362 28273620 34107543 37897270 42410430 45476724 56845905 68215086 75794540 84820860 113691810 136430172 170537715 227383620 269070617 341075430 538141234 682150860 807211851 1076282468 1345353085 1614423702 2421635553 2690706170 3228847404 4036059255 4843271106 5381412340 8072118510 9686542212 12108177765 16144237020 24216355530 48432711060