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6948349128 = 233472366601
BaseRepresentation
bin1100111100010011…
…10110010011001000
3122221020112201010000
412132021312103020
5103212234133003
63105251123000
7334120664430
oct63611662310
918836481100
106948349128
112a461865a6
12141aba3460
138696c02b6
1449cb532c0
152aa0151a3
hex19e2764c8

6948349128 has 160 divisors (see below), whose sum is σ = 23209464960. Its totient is φ = 1898899200.

The previous prime is 6948349099. The next prime is 6948349141. The reversal of 6948349128 is 8219438496.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71028 + ... + 137628.

It is an arithmetic number, because the mean of its divisors is an integer number (145059156).

Almost surely, 26948349128 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 6948349128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11604732480).

6948349128 is an abundant number, since it is smaller than the sum of its proper divisors (16261115832).

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

6948349128 is a wasteful number, since it uses less digits than its factorization.

6948349128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66649 (or 66636 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 6948349128 is about 83356.7581423366. The cubic root of 6948349128 is about 1908.2145836741.

The spelling of 6948349128 in words is "six billion, nine hundred forty-eight million, three hundred forty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 81 84 92 108 126 138 161 162 168 184 189 207 216 252 276 322 324 378 414 483 504 552 567 621 644 648 756 828 966 1134 1242 1288 1449 1512 1656 1863 1932 2268 2484 2898 3726 3864 4347 4536 4968 5796 7452 8694 11592 13041 14904 17388 26082 34776 52164 66601 104328 133202 199803 266404 399606 466207 532808 599409 799212 932414 1198818 1398621 1531823 1598424 1798227 1864828 2397636 2797242 3063646 3596454 3729656 4195863 4595469 4795272 5394681 5594484 6127292 7192908 8391726 9190938 10722761 10789362 11188968 12254584 12587589 13786407 14385816 16783452 18381876 21445522 21578724 25175178 27572814 32168283 33566904 36763752 37762767 41359221 42891044 43157448 50350356 55145628 64336566 75525534 82718442 85782088 96504849 100700712 110291256 124077663 128673132 151051068 165436884 193009698 248155326 257346264 289514547 302102136 330873768 386019396 496310652 579029094 772038792 868543641 992621304 1158058188 1737087282 2316116376 3474174564 6948349128