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53642457521316 = 22321926761606163
BaseRepresentation
bin11000011001001100110111…
…01000000001110010100100
321000221011120002121011001200
430030212123220001302210
524012334223111140231
6310031001011122500
714204353050462216
oct1414463350016244
9230834502534050
1053642457521316
11161017028a6554
1260243265a3430
1323c160113b251
14d364474a65b6
1563056b842be6
hex30c99ba01ca4

53642457521316 has 108 divisors (see below), whose sum is σ = 145244417218992. Its totient is φ = 16686891463968.

The previous prime is 53642457521267. The next prime is 53642457521447. The reversal of 53642457521316 is 61312575424635.

53642457521316 is a `hidden beast` number, since 5 + 3 + 6 + 4 + 2 + 457 + 52 + 131 + 6 = 666.

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 35 ways as a sum of consecutive naturals, for example, 29932350 + ... + 31673813.

Almost surely, 253642457521316 is an apocalyptic number.

It is an amenable number.

53642457521316 is an abundant number, since it is smaller than the sum of its proper divisors (91601959697676).

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

53642457521316 is a wasteful number, since it uses less digits than its factorization.

53642457521316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61606278 (or 61606254 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 53642457521316 in words is "fifty-three trillion, six hundred forty-two billion, four hundred fifty-seven million, five hundred twenty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 67 76 114 134 171 201 228 268 342 361 402 603 684 722 804 1083 1206 1273 1444 2166 2412 2546 3249 3819 4332 5092 6498 7638 11457 12996 15276 22914 24187 45828 48374 72561 96748 145122 217683 290244 435366 870732 61606163 123212326 184818489 246424652 369636978 554455467 739273956 1108910934 1170517097 2217821868 2341034194 3511551291 4127612921 4682068388 7023102582 8255225842 10534653873 12382838763 14046205164 16510451684 21069307746 22239824843 24765677526 37148516289 42138615492 44479649686 49531355052 66719474529 74297032578 78424645499 88959299372 133438949058 148594065156 156849290998 200158423587 235273936497 266877898116 313698581996 400316847174 470547872994 705821809491 800633694348 941095745988 1411643618982 1490068264481 2823287237964 2980136528962 4470204793443 5960273057924 8940409586886 13410614380329 17880819173772 26821228760658 53642457521316