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7106663348620 = 2251110323319199
BaseRepresentation
bin110011101101010011000…
…1001001111100110001100
3221011101112120212111112121
41213122212021033212030
51412413421304123440
623040431151142324
71332303512525113
oct147324611174614
927141476774477
107106663348620
11229aa1220a930
1296939b2149a4
133c720377c8b4
141a7d7021cc7a
15c4cd990434a
hex676a624f98c

7106663348620 has 144 divisors (see below), whose sum is σ = 16491780748800. Its totient is φ = 2551142563200.

The previous prime is 7106663348593. The next prime is 7106663348623. The reversal of 7106663348620 is 268433666017.

It is not an unprimeable number, because it can be changed into a prime (7106663348623) 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, 772542781 + ... + 772551979.

It is an arithmetic number, because the mean of its divisors is an integer number (114526255200).

Almost surely, 27106663348620 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 7106663348620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8245890374400).

7106663348620 is an abundant number, since it is smaller than the sum of its proper divisors (9385117400180).

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

7106663348620 is a wasteful number, since it uses less digits than its factorization.

7106663348620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9756 (or 9651 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 52.

The spelling of 7106663348620 in words is "seven trillion, one hundred six billion, six hundred sixty-three million, three hundred forty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 331 412 515 662 1030 1133 1324 1655 2060 2266 3310 3641 4532 5665 6620 7282 9199 10609 11330 14564 18205 18398 21218 22660 34093 36410 36796 42436 45995 53045 68186 72820 91990 101189 106090 116699 136372 170465 183980 202378 212180 233398 340930 375023 404756 466796 505945 583495 681860 750046 947497 1011890 1166990 1500092 1875115 1894994 2023780 2333980 3044869 3511579 3750230 3789988 4737485 6089738 7023158 7500460 9474970 10422467 12179476 14046316 15224345 17557895 18949940 20844934 30448690 33493559 35115790 38627369 41689868 52112335 60897380 66987118 70231580 77254738 97592191 104224670 133974236 154509476 167467795 193136845 195184382 208449340 313621507 334935590 386273690 390368764 487960955 627243014 669871180 772547380 975921910 1073514101 1254486028 1568107535 1951843820 2147028202 3136215070 3449836577 4294056404 5367570505 6272430140 6899673154 10735141010 13799346308 17249182885 21470282020 32303015221 34498365770 64606030442 68996731540 129212060884 161515076105 323030152210 355333167431 646060304420 710666334862 1421332669724 1776665837155 3553331674310 7106663348620