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645879031812 = 223277156596379
BaseRepresentation
bin10010110011000010110…
…00111110100000000100
32021202010102100100111200
421121201120332200010
541040230013004222
61212413541102500
764443325121160
oct11314130764004
92252112310450
10645879031812
11229a0896a213
12a52136b7a30
1348ba1a03001
1423391571ca0
1511c02a44eac
hex966163e804

645879031812 has 144 divisors (see below), whose sum is σ = 1892783692800. Its totient is φ = 181877088960.

The previous prime is 645879031801. The next prime is 645879031841. The reversal of 645879031812 is 218130978546.

645879031812 is a `hidden beast` number, since 6 + 458 + 7 + 9 + 0 + 3 + 181 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101247639 + ... + 101254017.

It is an arithmetic number, because the mean of its divisors is an integer number (13144331200).

It is a 2-persistent number, because it is pandigital, and so is 2⋅645879031812 = 1291758063624, but 3⋅645879031812 = 1937637095436 is not.

Almost surely, 2645879031812 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 645879031812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946391846400).

645879031812 is an abundant number, since it is smaller than the sum of its proper divisors (1246904660988).

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

645879031812 is a wasteful number, since it uses less digits than its factorization.

645879031812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12126 (or 12121 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 645879031812 in words is "six hundred forty-five billion, eight hundred seventy-nine million, thirty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2556 2982 4473 5659 5964 6379 8946 11318 12758 16977 17892 19137 22636 25516 33954 38274 39613 44653 50931 57411 67908 76548 79226 89306 101862 114822 118839 133959 158452 178612 203724 229644 237678 267918 356517 401789 401877 452909 475356 535836 713034 803578 803754 905818 1205367 1358727 1426068 1607156 1607508 1811636 2410734 2717454 2812523 3170363 3616101 4076181 4821468 5434908 5625046 6340726 7232202 8152362 8437569 9511089 11250092 12681452 14464404 16304724 16875138 19022178 25312707 28533267 33750276 36098761 38044356 50625414 57066534 72197522 101250828 108296283 114133068 144395044 216592566 252691327 324888849 433185132 505382654 649777698 758073981 1010765308 1299555396 1516147962 2274221943 2563012031 3032295924 4548443886 5126024062 7689036093 9096887772 10252048124 15378072186 17941084217 23067108279 30756144372 35882168434 46134216558 53823252651 71764336868 92268433116 107646505302 161469757953 215293010604 322939515906 645879031812