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434506063487864 = 23373641785328927
BaseRepresentation
bin110001011001011100101001…
…1100100010010001101111000
32002222110101002122101101110012
41202302321103210102031320
5423422421404223102424
64140041155133041052
7160344012211114454
oct14262712344221570
92088411078341405
10434506063487864
111164a0a9431aa05
1240896229626188
131585a990b9a924
1479422c4571664
153537776ebeb0e
hex18b2e53912378

434506063487864 has 64 divisors (see below), whose sum is σ = 818289908029440. Its totient is φ = 216297538928640.

The previous prime is 434506063487857. The next prime is 434506063487879. The reversal of 434506063487864 is 468784360605434.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 434506063487794 and 434506063487803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15020764169 + ... + 15020793095.

It is an arithmetic number, because the mean of its divisors is an integer number (12785779812960).

Almost surely, 2434506063487864 is an apocalyptic number.

It is an amenable number.

434506063487864 is a deficient number, since it is larger than the sum of its proper divisors (383783844541576).

434506063487864 is a wasteful number, since it uses less digits than its factorization.

434506063487864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37800 (or 37796 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 68.

The spelling of 434506063487864 in words is "four hundred thirty-four trillion, five hundred six billion, sixty-three million, four hundred eighty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 373 641 746 1282 1492 2564 2984 5128 7853 15706 28927 31412 57854 62824 115708 231416 239093 478186 956372 1912744 2929169 5033773 5858338 10067546 10789771 11716676 18542207 20135092 21579542 23433352 37084414 40270184 43159084 74168828 86318168 148337656 227163731 454327462 908654924 1817309848 1877597329 3755194658 6916243211 7510389316 13832486422 15020778632 27664972844 55329945688 84732071663 145611951571 169464143326 291223903142 338928286652 582447806284 677856573304 1164895612568 54313257935983 108626515871966 217253031743932 434506063487864