Search a number
-
+
6150516360540 = 2235419821297991
BaseRepresentation
bin101100110000000011101…
…0101111100010101011100
3210202222120001121220021020
41121200013111330111130
51301232224142014130
621025301435004140
71203234346316556
oct131400725742534
923688501556236
106150516360540
111a61468161952
12834017599650
13357cb68a2026
14173987d944d6
15a9ec8062e10
hex5980757c55c

6150516360540 has 96 divisors (see below), whose sum is σ = 17283631357440. Its totient is φ = 1634224838400.

The previous prime is 6150516360473. The next prime is 6150516360563. The reversal of 6150516360540 is 450636150516.

It is a junction number, because it is equal to n+sod(n) for n = 6150516360492 and 6150516360501.

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, 20490945 + ... + 20788935.

It is an arithmetic number, because the mean of its divisors is an integer number (180037826640).

Almost surely, 26150516360540 is an apocalyptic number.

6150516360540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6150516360540 is an abundant number, since it is smaller than the sum of its proper divisors (11133114996900).

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

6150516360540 is a wasteful number, since it uses less digits than its factorization.

6150516360540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299243 (or 299241 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 6150516360540 in words is "six trillion, one hundred fifty billion, five hundred sixteen million, three hundred sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 419 821 838 1257 1642 1676 2095 2463 2514 3284 4105 4190 4926 5028 6285 8210 8380 9852 12315 12570 16420 24630 25140 49260 297991 343999 595982 687998 893973 1031997 1191964 1375996 1489955 1719995 1787946 2063994 2979910 3439990 3575892 4127988 4469865 5159985 5959820 6879980 8939730 10319970 17879460 20639940 124858229 244650611 249716458 374574687 489301222 499432916 624291145 733951833 749149374 978602444 1223253055 1248582290 1467903666 1498298748 1872873435 2446506110 2497164580 2935807332 3669759165 3745746870 4893012220 7339518330 7491493740 14679036660 102508606009 205017212018 307525818027 410034424036 512543030045 615051636054 1025086060090 1230103272108 1537629090135 2050172120180 3075258180270 6150516360540