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66434800224 = 2531353233013
BaseRepresentation
bin111101110111110100…
…101001101001100000
320100110221210112012110
4331313310221221200
52042024302101344
650304132155320
74541213325132
oct756764515140
9210427715173
1066434800224
11261a1792781
1210a60a68b40
1363599303a0
143303325052
151adc6253b9
hexf77d29a60

66434800224 has 48 divisors (see below), whose sum is σ = 187806073392. Its totient is φ = 20441476608.

The previous prime is 66434800219. The next prime is 66434800253. The reversal of 66434800224 is 42200843466.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26615259 + ... + 26617754.

It is an arithmetic number, because the mean of its divisors is an integer number (3912626529).

Almost surely, 266434800224 is an apocalyptic number.

It is an amenable number.

66434800224 is an abundant number, since it is smaller than the sum of its proper divisors (121371273168).

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

66434800224 is a wasteful number, since it uses less digits than its factorization.

66434800224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53233039 (or 53233031 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 66434800224 in words is "sixty-six billion, four hundred thirty-four million, eight hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 53233013 106466026 159699039 212932052 319398078 425864104 638796156 692029169 851728208 1277592312 1384058338 1703456416 2076087507 2555184624 2768116676 4152175014 5110369248 5536233352 8304350028 11072466704 16608700056 22144933408 33217400112 66434800224