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48269040485616 = 2433967598119319
BaseRepresentation
bin10101111100110100000110…
…00000110000010011110000
320022220110211102110011021000
422332122003000300103300
522311314443331014431
6250354254023402000
713111215551335506
oct1276320300602360
9208813742404230
1048269040485616
111441a86aa8a185
1254b6a43bb3300
1320c199bbc1b32
14bcc33c242676
1558a8c63819e6
hex2be6830304f0

48269040485616 has 160 divisors (see below), whose sum is σ = 138723671116800. Its totient is φ = 16069522210560.

The previous prime is 48269040485587. The next prime is 48269040485623. The reversal of 48269040485616 is 61658404096284.

48269040485616 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 9 + 0 + 4 + 0 + 4 + 8 + 5 + 616 = 666.

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, 2498517205 + ... + 2498536523.

It is an arithmetic number, because the mean of its divisors is an integer number (867022944480).

Almost surely, 248269040485616 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 48269040485616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69361835558400).

48269040485616 is an abundant number, since it is smaller than the sum of its proper divisors (90454630631184).

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

48269040485616 is a wasteful number, since it uses less digits than its factorization.

48269040485616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26284 (or 26272 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 48269040485616 in words is "forty-eight trillion, two hundred sixty-nine billion, forty million, four hundred eighty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 967 1934 2901 3868 5802 5981 7736 8703 11604 11962 15472 17406 17943 19319 23208 23924 26109 34812 35886 38638 46416 47848 52218 53829 57957 69624 71772 77276 95696 104436 107658 115914 139248 143544 154552 161487 173871 208872 215316 231828 287088 309104 322974 347742 417744 430632 463656 521613 645948 695484 861264 927312 1043226 1291896 1390968 2086452 2583792 2781936 4172904 5783627 8345808 11567254 17350881 18681473 23134508 34701762 37362946 46269016 52052643 56044419 69403524 74725892 92538032 104105286 112088838 115546939 138807048 149451784 156157929 168133257 208210572 224177676 231093878 277614096 298903568 312315858 336266514 346640817 416421144 448355352 462187756 504399771 624631716 672533028 693281634 832842288 896710704 924375512 1008799542 1039922451 1249263432 1345066056 1386563268 1848751024 2017599084 2079844902 2498526864 2690132112 2773126536 3119767353 4035198168 4159689804 5546253072 6239534706 8070396336 8319379608 12479069412 16638759216 24958138824 49916277648 111733890013 223467780026 335201670039 446935560052 670403340078 893871120104 1005605010117 1340806680156 1787742240208 2011210020234 2681613360312 3016815030351 4022420040468 5363226720624 6033630060702 8044840080936 12067260121404 16089680161872 24134520242808 48269040485616