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5083913160 = 2334512231283
BaseRepresentation
bin1001011110000011…
…00101101111001000
3111010022021112210000
410233001211233020
540402440210120
62200245523000
7236661356154
oct45701455710
914108245700
105083913160
112179811227
12b9a713460
1363035c151
143632a6064
151eb4ce990
hex12f065bc8

5083913160 has 160 divisors (see below), whose sum is σ = 17114898240. Its totient is φ = 1353545856.

The previous prime is 5083913147. The next prime is 5083913161. The reversal of 5083913160 is 613193805.

It is a happy number.

5083913160 is a `hidden beast` number, since 508 + 3 + 91 + 3 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5083913161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3961879 + ... + 3963161.

It is an arithmetic number, because the mean of its divisors is an integer number (106968114).

Almost surely, 25083913160 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 5083913160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8557449120).

5083913160 is an abundant number, since it is smaller than the sum of its proper divisors (12030985080).

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

5083913160 is a wasteful number, since it uses less digits than its factorization.

5083913160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5083913160 is about 71301.5649197127. The cubic root of 5083913160 is about 1719.4888917634.

The spelling of 5083913160 in words is "five billion, eighty-three million, nine hundred thirteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1223 1283 1620 2446 2566 3240 3669 3849 4892 5132 6115 6415 7338 7698 9784 10264 11007 11547 12230 12830 14676 15396 18345 19245 22014 23094 24460 25660 29352 30792 33021 34641 36690 38490 44028 46188 48920 51320 55035 57735 66042 69282 73380 76980 88056 92376 99063 103923 110070 115470 132084 138564 146760 153960 165105 173205 198126 207846 220140 230940 264168 277128 330210 346410 396252 415692 440280 461880 495315 519615 660420 692820 792504 831384 990630 1039230 1320840 1385640 1569109 1981260 2078460 3138218 3962520 4156920 4707327 6276436 7845545 9414654 12552872 14121981 15691090 18829308 23536635 28243962 31382180 37658616 42365943 47073270 56487924 62764360 70609905 84731886 94146540 112975848 127097829 141219810 169463772 188293080 211829715 254195658 282439620 338927544 423659430 508391316 564879240 635489145 847318860 1016782632 1270978290 1694637720 2541956580 5083913160