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73340377704 = 23321128418317
BaseRepresentation
bin100010001001101101…
…1010101101001101000
321000022012212012122100
41010103123111221220
52200200114041304
653405254453400
75204304632106
oct1042333255150
9230265765570
1073340377704
1129115805300
1212269664260
136bba4c63c9
14379a502c76
151d939dc439
hex11136d5a68

73340377704 has 72 divisors (see below), whose sum is σ = 218329077330. Its totient is φ = 22224354240.

The previous prime is 73340377667. The next prime is 73340377723. The reversal of 73340377704 is 40777304337.

It can be written as a sum of positive squares in only one way, i.e., 73331556804 + 8820900 = 270798^2 + 2970^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×733403777042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73340377704.

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 17 ways as a sum of consecutive naturals, for example, 4200447 + ... + 4217870.

Almost surely, 273340377704 is an apocalyptic number.

It is an amenable number.

73340377704 is an abundant number, since it is smaller than the sum of its proper divisors (144988699626).

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

73340377704 is a wasteful number, since it uses less digits than its factorization.

73340377704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8418351 (or 8418333 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 45.

The spelling of 73340377704 in words is "seventy-three billion, three hundred forty million, three hundred seventy-seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 8418317 16836634 25254951 33673268 50509902 67346536 75764853 92601487 101019804 151529706 185202974 202039608 277804461 303059412 370405948 555608922 606118824 740811896 833413383 1018616357 1111217844 1666826766 2037232714 2222435688 3055849071 3333653532 4074465428 6111698142 6667307064 8148930856 9167547213 12223396284 18335094426 24446792568 36670188852 73340377704