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73464846420 = 223572167149629
BaseRepresentation
bin100010001101011011…
…0001001100001010100
321000121220001212121210
41010122312021201110
52200424000041140
653425502341420
75210345614500
oct1043266114124
9230556055553
1073464846420
1129179a99509
12122a328a870
136c0a226334
1437acc63300
151d9e8c6d80
hex111ad89854

73464846420 has 144 divisors (see below), whose sum is σ = 240719955840. Its totient is φ = 16691302656.

The previous prime is 73464846409. The next prime is 73464846421. The reversal of 73464846420 is 2464846437.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 73464846420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73464846421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416166 + ... + 565794.

It is an arithmetic number, because the mean of its divisors is an integer number (1671666360).

Almost surely, 273464846420 is an apocalyptic number.

73464846420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73464846420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120359977920).

73464846420 is an abundant number, since it is smaller than the sum of its proper divisors (167255109420).

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

73464846420 is a wasteful number, since it uses less digits than its factorization.

73464846420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149822 (or 149813 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 48.

The spelling of 73464846420 in words is "seventy-three billion, four hundred sixty-four million, eight hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 167 196 210 245 294 334 420 490 501 588 668 735 835 980 1002 1169 1470 1670 2004 2338 2505 2940 3340 3507 4676 5010 5845 7014 8183 10020 11690 14028 16366 17535 23380 24549 32732 35070 40915 49098 70140 81830 98196 122745 149629 163660 245490 299258 448887 490980 598516 748145 897774 1047403 1496290 1795548 2094806 2244435 2992580 3142209 4189612 4488870 5237015 6284418 7331821 8977740 10474030 12568836 14663642 15711045 20948060 21995463 24988043 29327284 31422090 36659105 43990926 49976086 62844180 73318210 74964129 87981852 99952172 109977315 124940215 146636420 149928258 174916301 219954630 249880430 299856516 349832602 374820645 439909260 499760860 524748903 699665204 749641290 874581505 1049497806 1224414107 1499282580 1749163010 2098995612 2448828214 2623744515 3498326020 3673242321 4897656428 5247489030 6122070535 7346484642 10494978060 12244141070 14692969284 18366211605 24488282140 36732423210 73464846420