Search a number
-
+
45313169180 = 22517791938741
BaseRepresentation
bin101010001100111000…
…000001011100011100
311022221221201111102012
4222030320001130130
51220300132403210
632452214250352
73162621403646
oct521470013434
9138857644365
1045313169180
1118243114754
1289473569b8
134371a70156
14229c0ad896
1512a319e305
hexa8ce0171c

45313169180 has 96 divisors (see below), whose sum is σ = 102570935040. Its totient is φ = 16753950720.

The previous prime is 45313169177. The next prime is 45313169207. The reversal of 45313169180 is 8196131354.

It is a super-2 number, since 2×453131691802 (a number of 22 digits) contains 22 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, 5179610 + ... + 5188350.

It is an arithmetic number, because the mean of its divisors is an integer number (1068447240).

Almost surely, 245313169180 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 45313169180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51285467520).

45313169180 is an abundant number, since it is smaller than the sum of its proper divisors (57257765860).

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

45313169180 is a wasteful number, since it uses less digits than its factorization.

45313169180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9039 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 45313169180 in words is "forty-five billion, three hundred thirteen million, one hundred sixty-nine thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 79 85 158 170 193 316 340 386 395 772 790 965 1343 1580 1930 2686 3281 3860 5372 6562 6715 8741 13124 13430 15247 16405 17482 26860 30494 32810 34964 43705 60988 65620 76235 87410 148597 152470 174820 259199 297194 304940 518398 594388 690539 742985 1036796 1295995 1381078 1485970 1687013 2591990 2762156 2971940 3374026 3452695 5183980 6748052 6905390 8435065 11739163 13810780 16870130 23478326 28679221 33740260 46956652 57358442 58695815 114716884 117391630 133274027 143396105 234783260 266548054 286792210 533096108 573584420 666370135 1332740270 2265658459 2665480540 4531316918 9062633836 11328292295 22656584590 45313169180