Search a number
-
+
161537467680 = 25325234877339
BaseRepresentation
bin1001011001110001100…
…0100010010100100000
3120102221211020121011100
42112130120202110200
510121312042431210
6202113112314400
714446022551161
oct2263430422440
9512854217140
10161537467680
1162564764406
12273826a2a00
1312304949c04
147b65bab768
1543069385c0
hex259c622520

161537467680 has 144 divisors (see below), whose sum is σ = 575213970240. Its totient is φ = 41203751424.

The previous prime is 161537467661. The next prime is 161537467739. The reversal of 161537467680 is 86764735161.

161537467680 is a `hidden beast` number, since 1 + 6 + 1 + 537 + 46 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2405550 + ... + 2471789.

It is an arithmetic number, because the mean of its divisors is an integer number (3994541460).

Almost surely, 2161537467680 is an apocalyptic number.

161537467680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161537467680 is an abundant number, since it is smaller than the sum of its proper divisors (413676502560).

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

161537467680 is a wasteful number, since it uses less digits than its factorization.

161537467680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877383 (or 4877372 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 161537467680 in words is "one hundred sixty-one billion, five hundred thirty-seven million, four hundred sixty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 4877339 9754678 14632017 19509356 24386695 29264034 39018712 43896051 48773390 58528068 73160085 78037424 87792102 97546780 112178797 117056136 146320170 156074848 175584204 195093560 219480255 224357594 234112272 292640340 336536391 351168408 390187120 438960510 448715188 468224544 560893985 585280680 673072782 702336816 780374240 877921020 897430376 1009609173 1121787970 1170561360 1346145564 1404673632 1682681955 1755842040 1794860752 2019218346 2243575940 2341122720 2692291128 3365363910 3511684080 3589721504 4038436692 4487151880 5048045865 5384582256 6730727820 7023368160 8076873384 8974303760 10096091730 10769164512 13461455640 16153746768 17948607520 20192183460 26922911280 32307493536 40384366920 53845822560 80768733840 161537467680