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930132384645 = 351729478326297
BaseRepresentation
bin11011000100100000011…
…01011101101110000101
310021220211112011211012110
431202100031131232011
5110214402342302040
61551144045011233
7124125355551312
oct15422015355605
93256745154173
10930132384645
11329515534422
12130323553b19
13699323c31c9
1433039251d09
15192dcaa5980
hexd89035db85

930132384645 has 64 divisors (see below), whose sum is σ = 1630492830720. Its totient is φ = 450678939648.

The previous prime is 930132384617. The next prime is 930132384653. The reversal of 930132384645 is 546483231039.

It is not a de Polignac number, because 930132384645 - 217 = 930132253573 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 930132384594 and 930132384603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35357137 + ... + 35383433.

It is an arithmetic number, because the mean of its divisors is an integer number (25476450480).

Almost surely, 2930132384645 is an apocalyptic number.

It is an amenable number.

930132384645 is a deficient number, since it is larger than the sum of its proper divisors (700360446075).

930132384645 is a wasteful number, since it uses less digits than its factorization.

930132384645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31134.

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 930132384645 in words is "nine hundred thirty billion, one hundred thirty-two million, three hundred eighty-four thousand, six hundred forty-five".

Divisors: 1 3 5 15 17 29 51 85 87 145 255 435 493 1479 2465 4783 7395 14349 23915 26297 71745 78891 81311 131485 138707 243933 394455 406555 416121 447049 693535 762613 1219665 1341147 2080605 2235245 2287839 2358019 3813065 6705735 7074057 11439195 11790095 12964421 35370285 38893263 64822105 125778551 194466315 377335653 628892755 1886678265 2138235367 3647577979 6414706101 10691176835 10942733937 18237889895 32073530505 54713669685 62008825643 186026476929 310044128215 930132384645