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2980991728 = 24111323371531
BaseRepresentation
bin1011000110101110…
…0101001011110000
321200202021001220001
42301223211023300
522101113213403
61211444555344
7133605003661
oct26153451360
97622231801
102980991728
11129a768230
126b23b2b54
1338678a640
14203c99368
15126a8bc1d
hexb1ae52f0

2980991728 has 160 divisors (see below), whose sum is σ = 7276534272. Its totient is φ = 1163289600.

The previous prime is 2980991723. The next prime is 2980991749. The reversal of 2980991728 is 8271990892.

2980991728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2980991723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1946323 + ... + 1947853.

Almost surely, 22980991728 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 2980991728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638267136).

2980991728 is an abundant number, since it is smaller than the sum of its proper divisors (4295542544).

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

2980991728 is a wasteful number, since it uses less digits than its factorization.

2980991728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 55.

The square root of 2980991728 is about 54598.4590258736. The cubic root of 2980991728 is about 1439.1970394831.

The spelling of 2980991728 in words is "two billion, nine hundred eighty million, nine hundred ninety-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 23 26 37 44 46 52 74 88 92 104 143 148 176 184 208 253 286 296 299 368 407 481 506 572 592 598 814 851 962 1012 1144 1196 1531 1628 1702 1924 2024 2288 2392 3062 3256 3289 3404 3848 4048 4784 5291 6124 6512 6578 6808 7696 9361 10582 11063 12248 13156 13616 16841 18722 19903 21164 22126 24496 26312 33682 35213 37444 39806 42328 44252 52624 56647 67364 70426 74888 79612 84656 88504 113294 121693 134728 140852 149776 159224 177008 218933 226588 243386 269456 281704 318448 387343 437866 453176 457769 486772 563408 623117 736411 774686 875732 906352 915538 973544 1246234 1302881 1472822 1549372 1751464 1831076 1947088 2492468 2605762 2945644 3098744 3502928 3662152 4984936 5035459 5211524 5891288 6197488 7324304 8100521 9969872 10070918 10423048 11782576 14331691 16201042 16937453 20141836 20846096 28663382 32402084 33874906 40283672 57326764 64804168 67749812 80567344 114653528 129608336 135499624 186311983 229307056 270999248 372623966 745247932 1490495864 2980991728