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864133384452 = 22313172861113891
BaseRepresentation
bin11001001001100100101…
…11010000100100000100
310001121110221102020020220
430210302113100210010
5103124221121300302
61500551041224340
7116301013401162
oct14446227204404
93047427366226
10864133384452
11303527849768
1211b5846320b0
1363644b5a380
142db77b70232
15177288664bc
hexc9325d0904

864133384452 has 96 divisors (see below), whose sum is σ = 2299966026624. Its totient is φ = 250157107200.

The previous prime is 864133384447. The next prime is 864133384459. The reversal of 864133384452 is 254483331468.

It is a super-2 number, since 2×8641333844522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 864133384395 and 864133384404.

It is not an unprimeable number, because it can be changed into a prime (864133384459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7530427 + ... + 7644317.

It is an arithmetic number, because the mean of its divisors is an integer number (23957979444).

Almost surely, 2864133384452 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 864133384452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149983013312).

864133384452 is an abundant number, since it is smaller than the sum of its proper divisors (1435832642172).

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

864133384452 is a wasteful number, since it uses less digits than its factorization.

864133384452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116789 (or 116787 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 51.

The spelling of 864133384452 in words is "eight hundred sixty-four billion, one hundred thirty-three million, three hundred eighty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 2861 5722 8583 11444 17166 34332 37193 48637 74386 97274 111579 113891 145911 148772 194548 223158 227782 291822 341673 446316 455564 583644 632281 683346 1264562 1366692 1480583 1896843 1936147 2529124 2961166 3793686 3872294 4441749 5808441 5922332 7587372 7744588 8883498 11616882 17766996 23233764 25169911 50339822 75509733 100679644 151019466 302038932 325842151 651684302 977526453 1303368604 1955052906 3910105812 4235947963 5539316567 8471895926 11078633134 12707843889 16617949701 16943791852 22157266268 25415687778 33235899402 50831375556 66471798804 72011115371 144022230742 216033346113 288044461484 432066692226 864133384452