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53360487680 = 285192837753
BaseRepresentation
bin110001101100100010…
…000110110100000000
312002201210011122002112
4301230202012310000
51333240241101210
640302524234452
73566215442633
oct615442066400
9162653148075
1053360487680
11206a26711a5
12a41239ba28
13505503cc86
142822b73c1a
1515c48e4d05
hexc6c886d00

53360487680 has 144 divisors (see below), whose sum is σ = 135034979520. Its totient is φ = 20146765824.

The previous prime is 53360487667. The next prime is 53360487683. The reversal of 53360487680 is 8678406335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53360487683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6878684 + ... + 6886436.

Almost surely, 253360487680 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 53360487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67517489760).

53360487680 is an abundant number, since it is smaller than the sum of its proper divisors (81674491840).

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

53360487680 is a wasteful number, since it uses less digits than its factorization.

53360487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8076 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

The spelling of 53360487680 in words is "fifty-three billion, three hundred sixty million, four hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 283 304 320 380 566 608 640 760 1132 1216 1280 1415 1520 2264 2432 2830 3040 4528 4864 5377 5660 6080 7753 9056 10754 11320 12160 15506 18112 21508 22640 24320 26885 31012 36224 38765 43016 45280 53770 62024 72448 77530 86032 90560 107540 124048 147307 155060 172064 181120 215080 248096 294614 310120 344128 362240 430160 496192 589228 620240 688256 736535 860320 992384 1178456 1240480 1376512 1473070 1720640 1984768 2194099 2356912 2480960 2946140 3441280 4388198 4713824 4961920 5892280 6882560 8776396 9427648 9923840 10970495 11784560 17552792 18855296 21940990 23569120 35105584 37710592 41687881 43881980 47138240 70211168 83375762 87763960 94276480 140422336 166751524 175527920 188552960 208439405 280844672 333503048 351055840 416878810 561689344 667006096 702111680 833757620 1334012192 1404223360 1667515240 2668024384 2808446720 3335030480 5336048768 6670060960 10672097536 13340121920 26680243840 53360487680