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488047660056 = 2332112214326141
BaseRepresentation
bin1110001101000011110…
…10000100110000011000
31201122201212202221012100
413012201322010300120
530444010200110211
61012112255043400
750155163443245
oct7064172046030
91648655687170
10488047660056
11178a861a9600
127a706210560
133703ab32588
141989ba905cc
15ca66679156
hex71a1e84c18

488047660056 has 144 divisors (see below), whose sum is σ = 1453616498880. Its totient is φ = 147818563200.

The previous prime is 488047660039. The next prime is 488047660081. The reversal of 488047660056 is 650066740884.

488047660056 is a `hidden beast` number, since 48 + 80 + 476 + 6 + 0 + 0 + 56 = 666.

It is a super-2 number, since 2×4880476600562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 488047659984 and 488047660011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18656746 + ... + 18682886.

It is an arithmetic number, because the mean of its divisors is an integer number (10094559020).

Almost surely, 2488047660056 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 488047660056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726808249440).

488047660056 is an abundant number, since it is smaller than the sum of its proper divisors (965568838824).

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

488047660056 is a wasteful number, since it uses less digits than its factorization.

488047660056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28318 (or 28300 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 488047660056 in words is "four hundred eighty-eight billion, forty-seven million, six hundred sixty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2143 2178 2904 4286 4356 6429 8572 8712 12858 17144 19287 23573 25716 26141 38574 47146 51432 52282 70719 77148 78423 94292 104564 141438 154296 156846 188584 209128 212157 235269 259303 282876 287551 313692 424314 470538 518606 565752 575102 627384 777909 848628 862653 941076 1037212 1150204 1555818 1697256 1725306 1882152 2074424 2300408 2333727 2587959 3111636 3163061 3450612 4667454 5175918 6223272 6326122 6901224 9334908 9489183 10351836 12652244 18669816 18978366 20703672 25304488 28467549 37956732 56020163 56935098 75913464 112040326 113870196 168060489 224080652 227740392 336120978 448161304 504181467 616221793 672241956 1008362934 1232443586 1344483912 1848665379 2016725868 2464887172 3697330758 4033451736 4929774344 5545996137 6778439723 7394661516 11091992274 13556879446 14789323032 20335319169 22183984548 27113758892 40670638338 44367969096 54227517784 61005957507 81341276676 122011915014 162682553352 244023830028 488047660056