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48918642822 = 23472315112421
BaseRepresentation
bin101101100011110001…
…110100000010000110
311200021020001112110000
4231203301310002012
51300141133032242
634250052142130
73351151413630
oct554361640206
9150236045400
1048918642822
1119823331435
129592907946
1347c7a187ca
142520c85a50
151414992a4c
hexb63c74086

48918642822 has 160 divisors (see below), whose sum is σ = 131596084224. Its totient is φ = 13279464000.

The previous prime is 48918642803. The next prime is 48918642823. The reversal of 48918642822 is 22824681984.

48918642822 is a `hidden beast` number, since 489 + 1 + 86 + 4 + 2 + 82 + 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 (48918642823) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3932172 + ... + 3944592.

Almost surely, 248918642822 is an apocalyptic number.

48918642822 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 48918642822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65798042112).

48918642822 is an abundant number, since it is smaller than the sum of its proper divisors (82677441402).

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

48918642822 is a wasteful number, since it uses less digits than its factorization.

48918642822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12616 (or 12607 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 48918642822 in words is "forty-eight billion, nine hundred eighteen million, six hundred forty-two thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 151 161 162 189 207 302 322 378 414 453 483 567 621 906 966 1057 1134 1242 1359 1449 1863 2114 2718 2898 3171 3473 3726 4077 4347 6342 6946 8154 8694 9513 10419 12231 12421 13041 19026 20838 24311 24462 24842 26082 28539 31257 37263 48622 57078 62514 72933 74526 85617 86947 93771 111789 145866 171234 173894 187542 218799 223578 260841 281313 285683 335367 437598 521682 562626 571366 656397 670734 782523 857049 1006101 1312794 1565046 1714098 1875571 1969191 1999781 2012202 2347569 2571147 3751142 3938382 3999562 4695138 5142294 5626713 5999343 7042707 7713441 11253426 11998686 13128997 14085414 15426882 16880139 17998029 23140323 26257994 33760278 35996058 39386991 43138133 46280646 50640417 53994087 78773982 86276266 101280834 107988174 118160973 129414399 151921251 161982261 236321946 258828798 301966931 303842502 323964522 354482919 388243197 603933862 708965838 776486394 905900793 1063448757 1164729591 1811801586 2126897514 2329459182 2717702379 3494188773 5435404758 6988377546 8153107137 16306214274 24459321411 48918642822