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54335600200640 = 26511109141616973
BaseRepresentation
bin11000101101010111111100…
…01001100000101111000000
321010101102200101211120020202
430112223332021200233000
524110213302122410030
6311321232524224332
714305421553156203
oct1426537611405700
9233342611746222
1054335600200640
1116349664872680
12611672a69b0a8
132441a95a09c95
14d5bbddb9193a
156435d88b6745
hex316afe260bc0

54335600200640 has 112 divisors (see below), whose sum is σ = 142444017128160. Its totient is φ = 19577130209280.

The previous prime is 54335600200633. The next prime is 54335600200663. The reversal of 54335600200640 is 4600200653345.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 54335600200594 and 54335600200603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70424807 + ... + 71192166.

Almost surely, 254335600200640 is an apocalyptic number.

It is an amenable number.

54335600200640 is an abundant number, since it is smaller than the sum of its proper divisors (88108416927520).

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

54335600200640 is a wasteful number, since it uses less digits than its factorization.

54335600200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141617110 (or 141617100 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 54335600200640 its reverse (4600200653345), we get a palindrome (58935800853985).

The spelling of 54335600200640 in words is "fifty-four trillion, three hundred thirty-five billion, six hundred million, two hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 109 110 160 176 218 220 320 352 436 440 545 704 872 880 1090 1199 1744 1760 2180 2398 3488 3520 4360 4796 5995 6976 8720 9592 11990 17440 19184 23980 34880 38368 47960 76736 95920 191840 383680 141616973 283233946 566467892 708084865 1132935784 1416169730 1557786703 2265871568 2832339460 3115573406 4531743136 5664678920 6231146812 7788933515 9063486272 11329357840 12462293624 15436250057 15577867030 22658715680 24924587248 30872500114 31155734060 45317431360 49849174496 61745000228 62311468120 77181250285 99698348992 123490000456 124622936240 154362500570 169798750627 246980000912 249245872480 308725001140 339597501254 493960001824 498491744960 617450002280 679195002508 848993753135 987920003648 1234900004560 1358390005016 1697987506270 2469800009120 2716780010032 3395975012540 4939600018240 5433560020064 6791950025080 10867120040128 13583900050160 27167800100320 54335600200640