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48491219484 = 22335910175347
BaseRepresentation
bin101101001010010011…
…010100101000011100
311122011102210011212000
4231022103110220130
51243302223010414
634135423042300
73334441364511
oct551223245034
9148142704760
1048491219484
1119624035a04
129493740390
13475a2c4ca6
1424c01c3308
1513dc1b3b09
hexb4a4d4a1c

48491219484 has 96 divisors (see below), whose sum is σ = 129116332800. Its totient is φ = 15732244800.

The previous prime is 48491219477. The next prime is 48491219503.

48491219484 is a `hidden beast` number, since 48 + 491 + 21 + 94 + 8 + 4 = 666.

48491219484 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×484912194842 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48491219484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605899 + ... + 681245.

It is an arithmetic number, because the mean of its divisors is an integer number (1344961800).

Almost surely, 248491219484 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 48491219484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64558166400).

48491219484 is an abundant number, since it is smaller than the sum of its proper divisors (80625113316).

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

48491219484 is a wasteful number, since it uses less digits than its factorization.

48491219484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75520 (or 75512 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 48491219484 in words is "forty-eight billion, four hundred ninety-one million, two hundred nineteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 101 108 118 177 202 236 303 354 404 531 606 708 909 1062 1212 1593 1818 2124 2727 3186 3636 5454 5959 6372 10908 11918 17877 23836 35754 53631 71508 75347 107262 150694 160893 214524 226041 301388 321786 452082 643572 678123 904164 1356246 2034369 2712492 4068738 4445473 7610047 8137476 8890946 13336419 15220094 17781892 22830141 26672838 30440188 40009257 45660282 53345676 68490423 80018514 91320564 120027771 136980846 160037028 205471269 240055542 273961692 410942538 448992773 480111084 821885076 897985546 1346978319 1795971092 2693956638 4040934957 5387913276 8081869914 12122804871 16163739828 24245609742 48491219484