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423336633324 = 2231119118479091
BaseRepresentation
bin1100010100100001101…
…01000110001111101100
31111110201001120011200120
412022100311012033230
523413443134231244
6522251141124540
742404451003603
oct6122065061754
91443631504616
10423336633324
11153599547420
126a0666b9750
1330bc7383607
14166bd67ca3a
15b02a551819
hex6290d463ec

423336633324 has 96 divisors (see below), whose sum is σ = 1083931656192. Its totient is φ = 127529064000.

The previous prime is 423336633281. The next prime is 423336633337.

423336633324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4233366333242 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46562019 + ... + 46571109.

It is an arithmetic number, because the mean of its divisors is an integer number (11290954752).

Almost surely, 2423336633324 is an apocalyptic number.

423336633324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423336633324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541965828096).

423336633324 is an abundant number, since it is smaller than the sum of its proper divisors (660595022868).

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

423336633324 is a wasteful number, since it uses less digits than its factorization.

423336633324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11147 (or 11145 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 42.

The spelling of 423336633324 in words is "four hundred twenty-three billion, three hundred thirty-six million, six hundred thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 191 382 573 764 1146 1847 2101 2292 3694 4202 5541 6303 7388 8404 9091 11082 12606 18182 20317 22164 25212 27273 36364 40634 54546 60951 81268 100001 109092 121902 200002 243804 300003 352777 400004 600006 705554 1058331 1200012 1411108 1736381 2116662 3472762 3880547 4233324 5209143 6945524 7761094 10418286 11641641 15522188 16791077 19100191 20836572 23283282 33582154 38200382 46566564 50373231 57300573 67164308 76400764 100746462 114601146 184701847 201492924 229202292 369403694 554105541 738807388 1108211082 2216422164 3207095707 6414191414 9621287121 12828382828 19242574242 35278052777 38485148484 70556105554 105834158331 141112211108 211668316662 423336633324