Search a number
-
+
3083502861080 = 2351717373335759
BaseRepresentation
bin101100110111101111000…
…101111011101100011000
3101220210001121122010111122
4230313233011323230120
5401010003213023310
610320312555344412
7435530034602465
oct54675705735430
911823047563448
103083502861080
11a89784a84174
1241972aa52108
13194a08593685
14a9356d7666c
15553204d7555
hex2cdef17bb18

3083502861080 has 128 divisors (see below), whose sum is σ = 7398741139200. Its totient is φ = 1152531259392.

The previous prime is 3083502861077. The next prime is 3083502861113. The reversal of 3083502861080 is 801682053803.

It is a super-3 number, since 3×30835028610803 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86212241 + ... + 86247999.

It is an arithmetic number, because the mean of its divisors is an integer number (57802665150).

Almost surely, 23083502861080 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 3083502861080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699370569600).

3083502861080 is an abundant number, since it is smaller than the sum of its proper divisors (4315238278120).

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

3083502861080 is a wasteful number, since it uses less digits than its factorization.

3083502861080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36693 (or 36689 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 3083502861080 in words is "three trillion, eighty-three billion, five hundred two million, eight hundred sixty-one thousand, eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 173 340 346 680 692 733 865 1384 1466 1730 2932 2941 3460 3665 5864 5882 6920 7330 11764 12461 14660 14705 23528 24922 29320 29410 35759 49844 58820 62305 71518 99688 117640 124610 126809 143036 178795 249220 253618 286072 357590 498440 507236 607903 634045 715180 1014472 1215806 1268090 1430360 2155753 2431612 2536180 3039515 4311506 4863224 5072360 6079030 6186307 8623012 10778765 12158060 12372614 17246024 21557530 24316120 24745228 26211347 30931535 43115060 49490456 52422694 61863070 86230120 104845388 105167219 123726140 131056735 209690776 210334438 247452280 262113470 420668876 445592899 524226940 525836095 841337752 891185798 1048453880 1051672190 1782371596 2103344380 2227964495 3564743192 4206688760 4455928990 4534563031 8911857980 9069126062 17823715960 18138252124 22672815155 36276504248 45345630310 77087571527 90691260620 154175143054 181382521240 308350286108 385437857635 616700572216 770875715270 1541751430540 3083502861080