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5643412143465 = 3531531493314643
BaseRepresentation
bin101001000011111010110…
…0100110111110101101001
3201222111122002120120021210
41102013311210313311221
51214430202002042330
620000314151423333
71121503004513115
oct122076544676551
921874562516253
105643412143465
1118863a3038a78
12771893384b49
1331c22c98c215
141571dd446745
159bbe88cb8b0
hex521f5937d69

5643412143465 has 128 divisors (see below), whose sum is σ = 9591279206400. Its totient is φ = 2829406694400.

The previous prime is 5643412143443. The next prime is 5643412143491.

5643412143465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5643412143465 - 210 = 5643412142441 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1215464434 + ... + 1215469076.

It is an arithmetic number, because the mean of its divisors is an integer number (74931868800).

Almost surely, 25643412143465 is an apocalyptic number.

It is an amenable number.

5643412143465 is a deficient number, since it is larger than the sum of its proper divisors (3947867062935).

5643412143465 is a wasteful number, since it uses less digits than its factorization.

5643412143465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215.

The product of its digits is 4147200, while the sum is 48.

The spelling of 5643412143465 in words is "five trillion, six hundred forty-three billion, four hundred twelve million, one hundred forty-three thousand, four hundred sixty-five".

Divisors: 1 3 5 15 31 53 93 149 155 159 265 331 447 465 745 795 993 1643 1655 2235 4619 4643 4929 4965 7897 8215 10261 13857 13929 17543 23095 23215 23691 24645 30783 39485 49319 51305 52629 69285 69645 87715 118455 143933 147957 153915 244807 246079 246595 263145 431799 543833 691807 719665 734421 738237 739785 1224035 1230395 1528889 1536833 1631499 2075421 2158995 2613907 2719165 3459035 3672105 3691185 4586667 4610499 7628449 7644445 7684165 7841721 8157495 10377105 13069535 21446017 22885347 22933335 23052495 36665771 38142245 39208605 47641823 64338051 81031117 81452149 107230085 109997313 114426735 142925469 183328855 228988117 238209115 243093351 244356447 321690255 405155585 407260745 549986565 686964351 714627345 1136638901 1144940585 1215466755 1221782235 2525016619 3409916703 3434821755 5683194505 7098631627 7575049857 12136370201 12625083095 17049583515 21295894881 35493158135 36409110603 37875249285 60681851005 106479474405 182045553015 376227476231 1128682428693 1881137381155 5643412143465