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2064315738768 = 243375919700677
BaseRepresentation
bin11110000010100010110…
…011100110101010010000
321022100100201020220022220
4132002202303212222100
5232310204312120033
64220200014301040
7302066445156363
oct36024263465220
97270321226286
102064315738768
117265204662a8
122940b31b7780
1311c88316172a
1471cb05a60da
1538a6e572bb3
hex1e0a2ce6a90

2064315738768 has 80 divisors (see below), whose sum is σ = 5569775684160. Its totient is φ = 658160183808.

The previous prime is 2064315738721. The next prime is 2064315738769. The reversal of 2064315738768 is 8678375134602.

It is a happy number.

It is a super-2 number, since 2×20643157387682 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2064315738769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9745555 + ... + 9955122.

It is an arithmetic number, because the mean of its divisors is an integer number (69622196052).

Almost surely, 22064315738768 is an apocalyptic number.

It is an amenable number.

2064315738768 is an abundant number, since it is smaller than the sum of its proper divisors (3505459945392).

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

2064315738768 is a wasteful number, since it uses less digits than its factorization.

2064315738768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19700784 (or 19700778 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 2064315738768 in words is "two trillion, sixty-four billion, three hundred fifteen million, seven hundred thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 59 74 111 118 148 177 222 236 296 354 444 472 592 708 888 944 1416 1776 2183 2832 4366 6549 8732 13098 17464 26196 34928 52392 104784 19700677 39401354 59102031 78802708 118204062 157605416 236408124 315210832 472816248 728925049 945632496 1162339943 1457850098 2186775147 2324679886 2915700196 3487019829 4373550294 4649359772 5831400392 6974039658 8747100588 9298719544 11662800784 13948079316 17494201176 18597439088 27896158632 34988402352 43006577891 55792317264 86013155782 129019733673 172026311564 258039467346 344052623128 516078934692 688105246256 1032157869384 2064315738768