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668123448 = 233197320071
BaseRepresentation
bin100111110100101…
…100000100111000
31201120012012001220
4213310230010320
52332014422243
6150144112040
722361645526
oct4764540470
91646165056
10668123448
11313158043
12167905620
13a855b225
1464a3b316
153d9c7783
hex27d2c138

668123448 has 64 divisors (see below), whose sum is σ = 1782393600. Its totient is φ = 208085760.

The previous prime is 668123411. The next prime is 668123473. The reversal of 668123448 is 844321866.

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 15 ways as a sum of consecutive naturals, for example, 23253 + ... + 43323.

It is an arithmetic number, because the mean of its divisors is an integer number (27849900).

Almost surely, 2668123448 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 668123448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891196800).

668123448 is an abundant number, since it is smaller than the sum of its proper divisors (1114270152).

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

668123448 is a wasteful number, since it uses less digits than its factorization.

668123448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20172 (or 20168 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 668123448 is about 25848.0840295756. The cubic root of 668123448 is about 874.2163096745.

The spelling of 668123448 in words is "six hundred sixty-eight million, one hundred twenty-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 73 76 114 146 152 219 228 292 438 456 584 876 1387 1752 2774 4161 5548 8322 11096 16644 20071 33288 40142 60213 80284 120426 160568 240852 381349 481704 762698 1144047 1465183 1525396 2288094 2930366 3050792 4395549 4576188 5860732 8791098 9152376 11721464 17582196 27838477 35164392 55676954 83515431 111353908 167030862 222707816 334061724 668123448