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73699840121985 = 32571121933617739
BaseRepresentation
bin10000110000011110010100…
…110010100101110010000001
3100122221122011120112210120200
4100300132110302211302001
534124444233032400420
6420425123353355413
721344431512543030
oct2060362462456201
9318848146483520
1073699840121985
1121534a21441800
128323633408b69
133217b3282675c
14142b13c726717
1587c17e260b90
hex430794ca5c81

73699840121985 has 72 divisors (see below), whose sum is σ = 160474803478080. Its totient is φ = 30628504969920.

The previous prime is 73699840121923. The next prime is 73699840121989. The reversal of 73699840121985 is 58912104899637.

73699840121985 is a `hidden beast` number, since 7 + 36 + 9 + 98 + 401 + 21 + 9 + 85 = 666.

It is not a de Polignac number, because 73699840121985 - 29 = 73699840121473 is a prime.

It is a super-2 number, since 2×736998401219852 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (73699840121989) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 966770755 + ... + 966846984.

It is a 1-persistent number, because it is pandigital, but 2⋅73699840121985 = 147399680243970 is not.

Almost surely, 273699840121985 is an apocalyptic number.

It is an amenable number.

73699840121985 is an abundant number, since it is smaller than the sum of its proper divisors (86774963356095).

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

73699840121985 is a wasteful number, since it uses less digits than its factorization.

73699840121985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933617779 (or 1933617765 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 73699840121985 in words is "seventy-three trillion, six hundred ninety-nine billion, eight hundred forty million, one hundred twenty-one thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 121 165 231 315 363 385 495 605 693 847 1089 1155 1815 2541 3465 4235 5445 7623 12705 38115 1933617739 5800853217 9668088695 13535324173 17402559651 21269795129 29004266085 40605972519 63809385387 67676620865 87012798255 106348975645 121817917557 148888565903 191428156161 203029862595 233967746419 319046926935 446665697709 609089587785 701903239257 744442829515 957140780805 1169838732095 1339997093127 1637774224933 2105709717771 2233328488545 3509516196285 4913322674799 6699985465635 8188871124665 10528548588855 14739968024397 24566613373995 73699840121985