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52135073739 = 3373797151509
BaseRepresentation
bin110000100011011111…
…100001011111001011
311222120101100011012000
4300203133201133023
51323233034324424
635541151322043
73523645546350
oct604337413713
9158511304160
1052135073739
1120123987601
12a12bb20323
134bbb1bb078
14274810a627
1515520393c9
hexc237e17cb

52135073739 has 128 divisors (see below), whose sum is σ = 92379033600. Its totient is φ = 28441497600.

The previous prime is 52135073717. The next prime is 52135073741. The reversal of 52135073739 is 93737053125.

52135073739 is a `hidden beast` number, since 521 + 3 + 50 + 7 + 3 + 73 + 9 = 666.

It is not a de Polignac number, because 52135073739 - 212 = 52135069643 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 52135073694 and 52135073703.

It is not an unprimeable number, because it can be changed into a prime (52135073759) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102426217 + ... + 102426725.

It is an arithmetic number, because the mean of its divisors is an integer number (721711200).

Almost surely, 252135073739 is an apocalyptic number.

52135073739 is a deficient number, since it is larger than the sum of its proper divisors (40243959861).

52135073739 is a wasteful number, since it uses less digits than its factorization.

52135073739 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The spelling of 52135073739 in words is "fifty-two billion, one hundred thirty-five million, seventy-three thousand, seven hundred thirty-nine".

Divisors: 1 3 7 9 21 27 37 63 97 111 151 189 259 291 333 453 509 679 777 873 999 1057 1359 1527 2037 2331 2619 3171 3563 3589 4077 4581 5587 6111 6993 9513 10689 10767 13743 14647 16761 18333 18833 25123 28539 32067 32301 39109 43941 49373 50283 56499 75369 76859 96201 96903 102529 117327 131823 131831 148119 150849 169497 226107 230577 307587 345611 351981 395469 395493 444357 508491 538013 541939 678321 691731 922761 1036833 1055943 1186479 1333071 1614039 1625817 1826801 2075193 2768283 2843783 3110499 3559437 3793573 4842117 4877451 5480403 7455323 8531349 9331497 11380719 12787607 14526351 14632353 16441209 19906481 22365969 25594047 34142157 38362821 49323627 52187261 59719443 67097907 76782141 102426471 115088463 156561783 179158329 201293721 275846951 345265389 469685349 537474987 827540853 1409056047 1930928657 2482622559 5792785971 7447867677 17378357913 52135073739