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73145919960 = 233251391461749
BaseRepresentation
bin100010000011111010…
…1100010100111011000
320222210122221201202200
41010013311202213120
52144300323414320
653334110530200
75166424026651
oct1040765424730
9228718851680
1073145919960
1129025a68323
1212214506960
136b8912c959
14377c764528
151d818ca290
hex1107d629d8

73145919960 has 96 divisors (see below), whose sum is σ = 239434650000. Its totient is φ = 19365237504.

The previous prime is 73145919923. The next prime is 73145919967. The reversal of 73145919960 is 6991954137.

It is a junction number, because it is equal to n+sod(n) for n = 73145919897 and 73145919906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73145919967) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 680835 + ... + 780914.

Almost surely, 273145919960 is an apocalyptic number.

It is an amenable number.

73145919960 is an abundant number, since it is smaller than the sum of its proper divisors (166288730040).

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

73145919960 is a wasteful number, since it uses less digits than its factorization.

73145919960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461905 (or 1461898 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 73145919960 in words is "seventy-three billion, one hundred forty-five million, nine hundred nineteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 556 695 834 1112 1251 1390 1668 2085 2502 2780 3336 4170 5004 5560 6255 8340 10008 12510 16680 25020 50040 1461749 2923498 4385247 5846996 7308745 8770494 11693992 13155741 14617490 17540988 21926235 26311482 29234980 35081976 43852470 52622964 58469960 65778705 87704940 105245928 131557410 175409880 203183111 263114820 406366222 526229640 609549333 812732444 1015915555 1219098666 1625464888 1828647999 2031831110 2438197332 3047746665 3657295998 4063662220 4876394664 6095493330 7314591996 8127324440 9143239995 12190986660 14629183992 18286479990 24381973320 36572959980 73145919960