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422664862806 = 23459401911003
BaseRepresentation
bin1100010011010001100…
…10011111110001010110
31111101222020111200210000
412021220302133301112
523411104201102211
6522100342512130
742352013025144
oct6115062376126
91441866450700
10422664862806
1115328432927a
1269ab9735646
1330b1b149374
1416658372594
15aedb5a8656
hex6268c9fc56

422664862806 has 80 divisors (see below), whose sum is σ = 963461822400. Its totient is φ = 138453304752.

The previous prime is 422664862769. The next prime is 422664862817. The reversal of 422664862806 is 608268466224.

422664862806 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 6 + 4 + 8 + 628 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38408101 + ... + 38419103.

It is an arithmetic number, because the mean of its divisors is an integer number (12043272780).

Almost surely, 2422664862806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422664862806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481730911200).

422664862806 is an abundant number, since it is smaller than the sum of its proper divisors (540796959594).

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

422664862806 is a wasteful number, since it uses less digits than its factorization.

422664862806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15095 (or 15086 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 422664862806 in words is "four hundred twenty-two billion, six hundred sixty-four million, eight hundred sixty-two thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 354 531 1062 1593 3186 4019 4779 8038 9558 11003 12057 22006 24114 33009 36171 66018 72342 99027 108513 198054 217026 237121 297081 325539 474242 594162 649177 651078 711363 891243 1298354 1422726 1782486 1947531 2134089 3895062 4268178 5842593 6402267 11685186 12804534 17527779 19206801 35055558 38413602 44221057 52583337 88442114 105166674 132663171 265326342 397989513 795979026 1193968539 2387937078 2609042363 3581905617 5218084726 7163811234 7827127089 15654254178 23481381267 46962762534 70444143801 140888287602 211332431403 422664862806