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73406783394 = 23271723264783
BaseRepresentation
bin100010001011101100…
…0101001111110100010
321000110211210222010100
41010113120221332202
52200314114032034
653420030043230
75206042235520
oct1042730517642
9230424728110
1073406783394
112914a24093a
1212287949516
136bcb1a6c09
1437a526b310
151d99758099
hex1117629fa2

73406783394 has 144 divisors (see below), whose sum is σ = 201196300032. Its totient is φ = 18881102592.

The previous prime is 73406783357. The next prime is 73406783407. The reversal of 73406783394 is 49338760437.

It is a happy number.

73406783394 is a `hidden beast` number, since 73 + 406 + 7 + 83 + 3 + 94 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 73406783394.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1100727 + ... + 1165509.

It is an arithmetic number, because the mean of its divisors is an integer number (1397196528).

Almost surely, 273406783394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73406783394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100598150016).

73406783394 is an abundant number, since it is smaller than the sum of its proper divisors (127789516638).

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

73406783394 is a wasteful number, since it uses less digits than its factorization.

73406783394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64861 (or 64835 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 73406783394 in words is "seventy-three billion, four hundred six million, seven hundred eighty-three thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 23 34 42 46 51 63 69 102 119 126 138 153 161 207 238 306 322 357 391 414 483 529 714 782 966 1058 1071 1173 1449 1587 2142 2346 2737 2898 3174 3519 3703 4761 5474 7038 7406 8211 8993 9522 11109 16422 17986 22218 24633 26979 33327 49266 53958 62951 64783 66654 80937 125902 129566 161874 188853 194349 377706 388698 453481 566559 583047 906962 1101311 1133118 1166094 1360443 1490009 2202622 2720886 2980018 3303933 4081329 4470027 6607866 7709177 8162658 8940054 9911799 10430063 13410081 15418354 19823598 20860126 23127531 25330153 26820162 31290189 34270207 46255062 50660306 62580378 68540414 69382593 75990459 93870567 102810621 138765186 151980918 177311071 187741134 205621242 227971377 239891449 308431863 354622142 455942754 479782898 531933213 582593519 616863726 719674347 1063866426 1165187038 1439348694 1595799639 1747780557 2159023041 3191599278 3495561114 4078154633 4318046082 5243341671 8156309266 10486683342 12234463899 24468927798 36703391697 73406783394