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5083417170 = 2335138317449
BaseRepresentation
bin1001011101111111…
…01100101001010010
3111010021100100102000
410232333230221102
540402323322140
62200231134430
7236654222136
oct45677545122
914107310360
105083417170
112179502617
12b9a514416
13630217470
143631b73c6
151eb432a30
hex12efeca52

5083417170 has 128 divisors (see below), whose sum is σ = 14775264000. Its totient is φ = 1236155904.

The previous prime is 5083417109. The next prime is 5083417181. The reversal of 5083417170 is 717143805.

It is a super-2 number, since 2×50834171702 = 51682260248501617800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282606 + ... + 300054.

It is an arithmetic number, because the mean of its divisors is an integer number (115431750).

Almost surely, 25083417170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5083417170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387632000).

5083417170 is an abundant number, since it is smaller than the sum of its proper divisors (9691846830).

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

5083417170 is a wasteful number, since it uses less digits than its factorization.

5083417170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17561 (or 17555 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 5083417170 is about 71298.0867204724. The cubic root of 5083417170 is about 1719.4329717791.

The spelling of 5083417170 in words is "five billion, eighty-three million, four hundred seventeen thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 83 90 117 130 135 166 195 234 249 270 351 390 415 498 585 702 747 830 1079 1170 1245 1494 1755 2158 2241 2490 3237 3510 3735 4482 5395 6474 7470 9711 10790 11205 16185 17449 19422 22410 29133 32370 34898 48555 52347 58266 87245 97110 104694 145665 157041 174490 226837 261735 291330 314082 453674 471123 523470 680511 785205 942246 1134185 1361022 1448267 1570410 2041533 2268370 2355615 2896534 3402555 4083066 4344801 4711230 6124599 6805110 7241335 8689602 10207665 12249198 13034403 14482670 18827471 20415330 21724005 26068806 30622995 37654942 39103209 43448010 56482413 61245990 65172015 78206418 94137355 112964826 130344030 169447239 188274710 195516045 282412065 338894478 391032090 508341717 564824130 847236195 1016683434 1694472390 2541708585 5083417170