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1098648628 = 2271119241241
BaseRepresentation
bin100000101111100…
…0000110000110100
32211120022010120221
41001133000300310
54222223224003
6301003504124
736140234140
oct10137006064
92746263527
101098648628
11514181a80
12267b28044
131467c985c
14a5caa220
15666ba7bd
hex417c0c34

1098648628 has 144 divisors (see below), whose sum is σ = 2602309248. Its totient is φ = 393984000.

The previous prime is 1098648623. The next prime is 1098648689. The reversal of 1098648628 is 8268468901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098648623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4558588 + ... + 4558828.

It is an arithmetic number, because the mean of its divisors is an integer number (18071592).

Almost surely, 21098648628 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 1098648628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301154624).

1098648628 is an abundant number, since it is smaller than the sum of its proper divisors (1503660620).

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

1098648628 is a wasteful number, since it uses less digits than its factorization.

1098648628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The square root of 1098648628 is about 33145.8689432032. The cubic root of 1098648628 is about 1031.8572166400.

The spelling of 1098648628 in words is "one billion, ninety-eight million, six hundred forty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 11 14 19 22 28 38 41 44 76 77 82 133 154 164 209 241 266 287 308 361 418 451 482 532 574 722 779 836 902 964 1148 1444 1463 1558 1687 1804 2527 2651 2926 3116 3157 3374 3971 4579 5054 5302 5453 5852 6314 6748 7942 8569 9158 9881 10108 10604 10906 12628 14801 15884 17138 18316 18557 19762 21812 27797 29602 32053 34276 37114 39524 50369 55594 59204 59983 64106 69167 74228 87001 100738 103607 108691 111188 119966 128212 138334 162811 174002 187739 201476 207214 217382 239932 276668 325622 348004 352583 375478 414428 434764 609007 651244 705166 750956 760837 957011 1139677 1218014 1314173 1410332 1521674 1914022 2065129 2279354 2436028 2628346 3043348 3567041 3828044 4130258 4558708 5256692 6699077 7134082 8260516 13398154 14268164 14455903 24969287 26796308 28911806 39237451 49938574 57823612 78474902 99877148 156949804 274662157 549324314 1098648628