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48508786224 = 2434109343391
BaseRepresentation
bin101101001011010110…
…010101011000110000
311122012122211122220000
4231023112111120300
51243321222124344
634141251350000
73335043610503
oct551326253060
9148178748800
1048508786224
1119632a44078
1294995b2300
134760b35a02
1424c267713a
1513dd9d3a69
hexb4b595630

48508786224 has 100 divisors (see below), whose sum is σ = 141686973120. Its totient is φ = 16021203840.

The previous prime is 48508786223. The next prime is 48508786283. The reversal of 48508786224 is 42268780584.

48508786224 is a `hidden beast` number, since 4 + 8 + 5 + 0 + 8 + 7 + 8 + 622 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48508786223) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 30432 + ... + 312959.

Almost surely, 248508786224 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 48508786224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70843486560).

48508786224 is an abundant number, since it is smaller than the sum of its proper divisors (93178186896).

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

48508786224 is a wasteful number, since it uses less digits than its factorization.

48508786224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343520 (or 343505 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 48508786224 in words is "forty-eight billion, five hundred eight million, seven hundred eighty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 109 144 162 216 218 324 327 432 436 648 654 872 981 1296 1308 1744 1962 2616 2943 3924 5232 5886 7848 8829 11772 15696 17658 23544 35316 47088 70632 141264 343391 686782 1030173 1373564 2060346 2747128 3090519 4120692 5494256 6181038 8241384 9271557 12362076 16482768 18543114 24724152 27814671 37086228 37429619 49448304 55629342 74172456 74859238 111258684 112288857 148344912 149718476 222517368 224577714 299436952 336866571 445034736 449155428 598873904 673733142 898310856 1010599713 1347466284 1796621712 2021199426 2694932568 3031799139 4042398852 5389865136 6063598278 8084797704 12127196556 16169595408 24254393112 48508786224