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48775882584 = 233111357724631
BaseRepresentation
bin101101011011010001…
…001110011101011000
311122220021102120012210
4231123101032131120
51244343111220314
634223552235120
73344466106212
oct553321163530
9148807376183
1048775882584
111975a794570
129552b3baa0
1347a4282cb0
142509d235b2
151407193559
hexb5b44e758

48775882584 has 128 divisors (see below), whose sum is σ = 143511943680. Its totient is φ = 13619404800.

The previous prime is 48775882501. The next prime is 48775882591. The reversal of 48775882584 is 48528857784.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1967949 + ... + 1992579.

It is an arithmetic number, because the mean of its divisors is an integer number (1121187060).

Almost surely, 248775882584 is an apocalyptic number.

48775882584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48775882584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71755971840).

48775882584 is an abundant number, since it is smaller than the sum of its proper divisors (94736061096).

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

48775882584 is a wasteful number, since it uses less digits than its factorization.

48775882584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25241 (or 25237 counting only the distinct ones).

The product of its digits is 160563200, while the sum is 66.

The spelling of 48775882584 in words is "forty-eight billion, seven hundred seventy-five million, eight hundred eighty-two thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 577 858 1144 1154 1716 1731 2308 3432 3462 4616 6347 6924 7501 12694 13848 15002 19041 22503 24631 25388 30004 38082 45006 49262 50776 60008 73893 76164 82511 90012 98524 147786 152328 165022 180024 197048 247533 270941 295572 320203 330044 495066 541882 591144 640406 660088 812823 960609 990132 1083764 1280812 1625646 1921218 1980264 2167528 2561624 3251292 3522233 3842436 6502584 7044466 7684872 10566699 14088932 14212087 21133398 28177864 28424174 42266796 42636261 56848348 84533592 85272522 113696696 156332957 170545044 184757131 312665914 341090088 369514262 468998871 554271393 625331828 739028524 937997742 1108542786 1250663656 1478057048 1875995484 2032328441 2217085572 3751990968 4064656882 4434171144 6096985323 8129313764 12193970646 16258627528 24387941292 48775882584