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73468708404 = 223721331330707
BaseRepresentation
bin100010001101100010…
…0111000011000110100
321000122011100002021020
41010123010320120310
52200430442132104
653430121221140
75210423501100
oct1043304703064
9230564302236
1073468708404
1129181197033
12122a46317b0
136c0ac79130
1437ad58a900
151d9eddb2d9
hex111b138634

73468708404 has 144 divisors (see below), whose sum is σ = 215447819328. Its totient is φ = 19313828352.

The previous prime is 73468708367. The next prime is 73468708457. The reversal of 73468708404 is 40480786437.

It is a happy number.

It is a super-2 number, since 2×734687084042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2377219 + ... + 2407925.

It is an arithmetic number, because the mean of its divisors is an integer number (1496165412).

Almost surely, 273468708404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73468708404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107723909664).

73468708404 is an abundant number, since it is smaller than the sum of its proper divisors (141979110924).

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

73468708404 is a wasteful number, since it uses less digits than its factorization.

73468708404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31054 (or 31045 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 73468708404 in words is "seventy-three billion, four hundred sixty-eight million, seven hundred eight thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 313 364 546 588 626 637 939 1092 1252 1274 1878 1911 2191 2548 3756 3822 4069 4382 6573 7644 8138 8764 12207 13146 15337 16276 24414 26292 28483 30674 30707 46011 48828 56966 61348 61414 85449 92022 92121 113932 122828 170898 184044 184242 199381 214949 341796 368484 398762 399191 429898 598143 644847 797524 798382 859796 1196286 1197573 1289694 1504643 1596764 2392572 2395146 2579388 2794337 3009286 4513929 4790292 5588674 6018572 8383011 9027858 9611291 11177348 16766022 18055716 19222582 19560359 28833873 33532044 38445164 39120718 57667746 58681077 67279037 78241436 115335492 117362154 124946783 134558074 201837111 234724308 249893566 269116148 374840349 403674222 470953259 499787132 749680698 807348444 874627481 941906518 1412859777 1499361396 1749254962 1883813036 2623882443 2825719554 3498509924 5247764886 5651439108 6122392367 10495529772 12244784734 18367177101 24489569468 36734354202 73468708404