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642723503148 = 223233752977539
BaseRepresentation
bin10010101101001010100…
…11100101110000101100
32021102222111122212221200
421112211103211300230
541012244204100043
61211132455125500
764302200431146
oct11264523456054
92242874585850
10642723503148
11228639730891
12a4692973890
13487bb03529c
1423172441c96
1511aba9cd7d3
hex95a54e5c2c

642723503148 has 36 divisors (see below), whose sum is σ = 1629483175320. Its totient is φ = 213605433216.

The previous prime is 642723503137. The next prime is 642723503153. The reversal of 642723503148 is 841305327246.

642723503148 is a `hidden beast` number, since 64 + 2 + 72 + 3 + 503 + 14 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×6427235031483 (a number of 36 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 26476638 + ... + 26500901.

Almost surely, 2642723503148 is an apocalyptic number.

It is an amenable number.

642723503148 is an abundant number, since it is smaller than the sum of its proper divisors (986759672172).

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

642723503148 is a wasteful number, since it uses less digits than its factorization.

642723503148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52977886 (or 52977881 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 642723503148 in words is "six hundred forty-two billion, seven hundred twenty-three million, five hundred three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 337 674 1011 1348 2022 3033 4044 6066 12132 52977539 105955078 158932617 211910156 317865234 476797851 635730468 953595702 1907191404 17853430643 35706861286 53560291929 71413722572 107120583858 160680875787 214241167716 321361751574 642723503148