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3066479488 = 27293783269
BaseRepresentation
bin1011011011000110…
…1100001110000000
321220201010022001101
42312301230032000
522240004320423
61224141144144
7135663434302
oct26661541600
97821108041
103066479488
111333a47476
12716b5b054
1339b3bc807
1421138d972
1512e3267ad
hexb6c6c380

3066479488 has 128 divisors (see below), whose sum is σ = 6593076000. Its totient is φ = 1417715712.

The previous prime is 3066479453. The next prime is 3066479489. The reversal of 3066479488 is 8849746603.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3066479489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11399418 + ... + 11399686.

Almost surely, 23066479488 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 3066479488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296538000).

3066479488 is an abundant number, since it is smaller than the sum of its proper divisors (3526596512).

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

3066479488 is a wasteful number, since it uses less digits than its factorization.

3066479488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The square root of 3066479488 is about 55375.8023689048. The cubic root of 3066479488 is about 1452.8251677541.

The spelling of 3066479488 in words is "three billion, sixty-six million, four hundred seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 83 116 128 148 166 232 269 296 332 464 538 592 664 928 1073 1076 1184 1328 1856 2146 2152 2368 2407 2656 3071 3712 4292 4304 4736 4814 5312 6142 7801 8584 8608 9628 9953 10624 12284 15602 17168 17216 19256 19906 22327 24568 31204 34336 34432 38512 39812 44654 49136 62408 68672 77024 79624 89059 89308 98272 124816 137344 154048 159248 178118 178616 196544 249632 288637 308096 318496 356236 357232 393088 499264 577274 636992 647483 712472 714464 826099 998528 1154548 1273984 1294966 1424944 1428928 1652198 2309096 2589932 2849888 2857856 3304396 4618192 5179864 5699776 6608792 9236384 10359728 11399552 13217584 18472768 20719456 23956871 26435168 36945536 41438912 47913742 52870336 82877824 95827484 105740672 191654968 383309936 766619872 1533239744 3066479488