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4321513954416 = 2431941611894643
BaseRepresentation
bin111110111000101110010…
…011011101110001110000
3120022010120201220211221210
4332320232103131301300
51031300430033020131
613105135345520120
7624135100346601
oct76705623356160
916263521824853
104321513954416
11141681aa6928a
12599656343040
13254694b6b989
1410d23b85dda8
157762c289146
hex3ee2e4ddc70

4321513954416 has 160 divisors (see below), whose sum is σ = 12235459380480. Its totient is φ = 1309576550400.

The previous prime is 4321513954409. The next prime is 4321513954421. The reversal of 4321513954416 is 6144593151234.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1333591 + ... + 3228233.

It is an arithmetic number, because the mean of its divisors is an integer number (76471621128).

Almost surely, 24321513954416 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 4321513954416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6117729690240).

4321513954416 is an abundant number, since it is smaller than the sum of its proper divisors (7913945426064).

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

4321513954416 is a wasteful number, since it uses less digits than its factorization.

4321513954416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894775 (or 1894769 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The spelling of 4321513954416 in words is "four trillion, three hundred twenty-one billion, five hundred thirteen million, nine hundred fifty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 61 76 82 114 122 123 152 164 183 228 244 246 304 328 366 456 488 492 656 732 779 912 976 984 1159 1464 1558 1968 2318 2337 2501 2928 3116 3477 4636 4674 5002 6232 6954 7503 9272 9348 10004 12464 13908 15006 18544 18696 20008 27816 30012 37392 40016 47519 55632 60024 95038 120048 142557 190076 285114 380152 570228 760304 1140456 1894643 2280912 3789286 5683929 7578572 11367858 15157144 22735716 30314288 35998217 45471432 71996434 77680363 90942864 107994651 115573223 143992868 155360726 215989302 231146446 233041089 287985736 310721452 346719669 431978604 462292892 466082178 575971472 621442904 693439338 863957208 924585784 932164356 1242885808 1386878676 1475926897 1727914416 1849171568 1864328712 2195891237 2773757352 2951853794 3728657424 4391782474 4427780691 4738502143 5547514704 5903707588 6587673711 8783564948 8855561382 9477004286 11807415176 13175347422 14215506429 17567129896 17711122764 18954008572 23614830352 26350694844 28431012858 35134259792 35422245528 37908017144 52701389688 56862025716 70844491056 75816034288 90031540717 105402779376 113724051432 180063081434 227448102864 270094622151 360126162868 540189244302 720252325736 1080378488604 1440504651472 2160756977208 4321513954416