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48549700782 = 23411831492203
BaseRepresentation
bin101101001101110010…
…011010010010101110
311122022111211100010000
4231031302122102232
51243412210411112
634145312325130
73336051435102
oct551562322256
9148274740100
1048549700782
1119654049860
1294ab2437a6
13476945c8cb
1424c7c87902
1513e23b67dc
hexb4dc9a4ae

48549700782 has 160 divisors (see below), whose sum is σ = 120967862400. Its totient is φ = 14430674880.

The previous prime is 48549700781. The next prime is 48549700789. The reversal of 48549700782 is 28700794584.

It is a happy number.

48549700782 is a `hidden beast` number, since 4 + 85 + 497 + 0 + 0 + 78 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48549700781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22036893 + ... + 22039095.

It is an arithmetic number, because the mean of its divisors is an integer number (756049140).

Almost surely, 248549700782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48549700782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60483931200).

48549700782 is an abundant number, since it is smaller than the sum of its proper divisors (72418161618).

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

48549700782 is a wasteful number, since it uses less digits than its factorization.

48549700782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 48549700782 in words is "forty-eight billion, five hundred forty-nine million, seven hundred thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 83 99 149 162 166 198 249 297 298 447 498 594 747 891 894 913 1341 1494 1639 1782 1826 2203 2241 2682 2739 3278 4023 4406 4482 4917 5478 6609 6723 8046 8217 9834 12069 12367 13218 13446 14751 16434 19827 24138 24233 24651 24734 29502 37101 39654 44253 48466 49302 59481 72699 73953 74202 88506 111303 118962 132759 136037 145398 147906 178443 182849 218097 222606 265518 272074 328247 333909 356886 365698 408111 436194 548547 654291 656494 667818 816222 984741 1001727 1097094 1224333 1308582 1645641 1962873 1969482 2003454 2011339 2448666 2954223 3291282 3610717 3672999 3925746 4022678 4936923 5908446 6034017 7221434 7345998 8862669 9873846 10832151 11018997 12068034 14810769 17725338 18102051 21664302 22037994 26588007 27244501 29621538 32496453 36204102 53176014 54306153 54489002 64992906 81733503 97489359 108612306 162918459 163467006 194978718 245200509 292468077 299689511 325836918 490401018 584936154 599379022 735601527 899068533 1471203054 1798137066 2206804581 2697205599 4413609162 5394411198 8091616797 16183233594 24274850391 48549700782