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53642154052704 = 2537419190512253
BaseRepresentation
bin11000011001001100010011…
…00010011000110001100000
321000221010202221120100101110
430030212021202120301200
524012333112414141304
6310030510530503320
714204342404155120
oct1414461142306140
9230833687510343
1053642154052704
1116101567573048
126024260a34b40
1323c15832c7719
14d3641906cc80
1563054ed9b289
hex30c989898c60

53642154052704 has 96 divisors (see below), whose sum is σ = 161310535706880. Its totient is φ = 15289751296512.

The previous prime is 53642154052667. The next prime is 53642154052741. The reversal of 53642154052704 is 40725045124635.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53642154052667) and next prime (53642154052741).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94974559 + ... + 95537694.

It is an arithmetic number, because the mean of its divisors is an integer number (1680318080280).

Almost surely, 253642154052704 is an apocalyptic number.

It is an amenable number.

53642154052704 is an abundant number, since it is smaller than the sum of its proper divisors (107668381654176).

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

53642154052704 is a wasteful number, since it uses less digits than its factorization.

53642154052704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190512692 (or 190512684 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 48.

The spelling of 53642154052704 in words is "fifty-three trillion, six hundred forty-two billion, one hundred fifty-four million, fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 419 672 838 1257 1676 2514 2933 3352 5028 5866 6704 8799 10056 11732 13408 17598 20112 23464 35196 40224 46928 70392 93856 140784 281568 190512253 381024506 571536759 762049012 1143073518 1333585771 1524098024 2286147036 2667171542 3048196048 4000757313 4572294072 5334343084 6096392096 8001514626 9144588144 10668686168 16003029252 18289176288 21337372336 32006058504 42674744672 64012117008 79824634007 128024234016 159649268014 239473902021 319298536028 478947804042 558772438049 638597072056 957895608084 1117544876098 1277194144112 1676317314147 1915791216168 2235089752196 2554388288224 3352634628294 3831582432336 4470179504392 6705269256588 7663164864672 8940359008784 13410538513176 17880718017568 26821077026352 53642154052704