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133145512542 = 23272374079963
BaseRepresentation
bin111110000000000010…
…1110100101001011110
3110201200010202211122100
41330000011310221132
54140140222400132
6141055522225530
712422320116600
oct1740005645136
9421603684570
10133145512542
1151515197279
122197a1b52a6
13c72b776563
14663114d170
1536e409c37c
hex1f00174a5e

133145512542 has 72 divisors (see below), whose sum is σ = 344650878936. Its totient is φ = 37013415264.

The previous prime is 133145512531. The next prime is 133145512553. The reversal of 133145512542 is 245215541331.

133145512542 is a `hidden beast` number, since 1 + 33 + 14 + 551 + 25 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (133145512531) and next prime (133145512553).

It is a junction number, because it is equal to n+sod(n) for n = 133145512497 and 133145512506.

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 35 ways as a sum of consecutive naturals, for example, 2007348 + ... + 2072615.

It is an arithmetic number, because the mean of its divisors is an integer number (4786817763).

Almost surely, 2133145512542 is an apocalyptic number.

133145512542 is an abundant number, since it is smaller than the sum of its proper divisors (211505366394).

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

133145512542 is a wasteful number, since it uses less digits than its factorization.

133145512542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080022 (or 4080012 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 133145512542 in words is "one hundred thirty-three billion, one hundred forty-five million, five hundred twelve thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 333 441 518 666 777 882 1554 1813 2331 3626 4662 5439 10878 16317 32634 4079963 8159926 12239889 24479778 28559741 36719667 57119482 73439334 85679223 150958631 171358446 199918187 257037669 301917262 399836374 452875893 514075338 599754561 905751786 1056710417 1199509122 1358627679 1799263683 2113420834 2717255358 3170131251 3598527366 6340262502 7396972919 9510393753 14793945838 19020787506 22190918757 44381837514 66572756271 133145512542