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1333664412 = 2232979139349
BaseRepresentation
bin100111101111110…
…0001101010011100
310102221112011122020
41033133201222130
510212404230122
6340201020140
745022650303
oct11737415234
93387464566
101333664412
116249008a3
12312784650
131833c3b52
14c91a543a
157c13ec5c
hex4f7e1a9c

1333664412 has 96 divisors (see below), whose sum is σ = 3292800000. Its totient is φ = 419537664.

The previous prime is 1333664401. The next prime is 1333664443. The reversal of 1333664412 is 2144663331.

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

It is a congruent number.

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, 3821214 + ... + 3821562.

It is an arithmetic number, because the mean of its divisors is an integer number (34300000).

Almost surely, 21333664412 is an apocalyptic number.

1333664412 is a gapful number since it is divisible by the number (12) 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 1333664412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646400000).

1333664412 is an abundant number, since it is smaller than the sum of its proper divisors (1959135588).

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

1333664412 is a wasteful number, since it uses less digits than its factorization.

1333664412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 601 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 1333664412 is about 36519.3703669710. The cubic root of 1333664412 is about 1100.7335085649.

The spelling of 1333664412 in words is "one billion, three hundred thirty-three million, six hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 79 87 116 139 158 174 237 278 316 348 349 417 474 556 698 834 948 1047 1396 1668 2094 2291 4031 4188 4582 6873 8062 9164 10121 10981 12093 13746 16124 20242 21962 24186 27492 27571 30363 32943 40484 43924 48372 48511 55142 60726 65886 82713 97022 110284 121452 131772 145533 165426 194044 291066 318449 330852 582132 636898 799559 955347 1273796 1406819 1599118 1910694 2398677 2813638 3198236 3821388 3832369 4220457 4797354 5627276 7664738 8440914 9594708 11497107 15329476 16881828 22994214 45988428 111138701 222277402 333416103 444554804 666832206 1333664412