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434763434076 = 2231959223144931
BaseRepresentation
bin1100101001110011110…
…10111000100001011100
31112120012102002210111020
412110321322320201130
524110343414342301
6531421053124140
743260562133526
oct6247172704134
91476172083436
10434763434076
11158422695a04
1270315489650
1331cc884428a
14170850cca16
15b4987ea436
hex6539eb885c

434763434076 has 96 divisors (see below), whose sum is σ = 1090816204800. Its totient is φ = 134360544960.

The previous prime is 434763434041. The next prime is 434763434081. The reversal of 434763434076 is 670434367434.

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, 2927331 + ... + 3072261.

It is an arithmetic number, because the mean of its divisors is an integer number (11362668800).

Almost surely, 2434763434076 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 434763434076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545408102400).

434763434076 is an abundant number, since it is smaller than the sum of its proper divisors (656052770724).

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

434763434076 is a wasteful number, since it uses less digits than its factorization.

434763434076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145239 (or 145237 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 51.

The spelling of 434763434076 in words is "four hundred thirty-four billion, seven hundred sixty-three million, four hundred thirty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 223 228 236 354 446 669 708 892 1121 1338 2242 2676 3363 4237 4484 6726 8474 12711 13157 13452 16948 25422 26314 39471 50844 52628 78942 144931 157884 249983 289862 434793 499966 579724 749949 869586 999932 1499898 1739172 2753689 2999796 5507378 8261067 8550929 11014756 16522134 17101858 25652787 32319613 33044268 34203716 51305574 64639226 96958839 102611148 129278452 162467651 193917678 324935302 387835356 487402953 614072647 649870604 974805906 1228145294 1842217941 1906857167 1949611812 2456290588 3684435882 3813714334 5720571501 7368871764 7627428668 11441143002 22882286004 36230286173 72460572346 108690858519 144921144692 217381717038 434763434076