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868226235648 = 2832983469673
BaseRepresentation
bin11001010001001100101…
…00001111110100000000
310002000001011211121121020
430220212110033310000
5103211111404020043
61502505125225440
7116504312144022
oct14504624176400
93060034747536
10868226235648
11305238091412
12120327262280
1363b47a8b705
1430045574012
15178b7d2ce83
hexca2650fd00

868226235648 has 144 divisors (see below), whose sum is σ = 2419234413120. Its totient is φ = 276061929472.

The previous prime is 868226235637. The next prime is 868226235689. The reversal of 868226235648 is 846532622868.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 868226235591 and 868226235600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1613740 + ... + 2083412.

It is an arithmetic number, because the mean of its divisors is an integer number (16800238980).

Almost surely, 2868226235648 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 868226235648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209617206560).

868226235648 is an abundant number, since it is smaller than the sum of its proper divisors (1551008177472).

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

868226235648 is a wasteful number, since it uses less digits than its factorization.

868226235648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469804 (or 469790 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 60.

The spelling of 868226235648 in words is "eight hundred sixty-eight billion, two hundred twenty-six million, two hundred thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 83 87 96 116 128 166 174 192 232 249 256 332 348 384 464 498 664 696 768 928 996 1328 1392 1856 1992 2407 2656 2784 3712 3984 4814 5312 5568 7221 7424 7968 9628 10624 11136 14442 15936 19256 21248 22272 28884 31872 38512 57768 63744 77024 115536 154048 231072 308096 462144 469673 616192 924288 939346 1409019 1848576 1878692 2818038 3757384 5636076 7514768 11272152 13620517 15029536 22544304 27241034 30059072 38982859 40861551 45088608 54482068 60118144 77965718 81723102 90177216 108964136 116948577 120236288 155931436 163446204 180354432 217928272 233897154 311862872 326892408 360708864 435856544 467794308 623725744 653784816 871713088 935588616 1130502911 1247451488 1307569632 1743426176 1871177232 2261005822 2494902976 2615139264 3391508733 3486852352 3742354464 4522011644 4989805952 5230278528 6783017466 7484708928 9044023288 9979611904 10460557056 13566034932 14969417856 18088046576 27132069864 29938835712 36176093152 54264139728 72352186304 108528279456 144704372608 217056558912 289408745216 434113117824 868226235648