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201630161523060 = 223259418233144589
BaseRepresentation
bin101101110110000110101110…
…001001110101000101110100
3222102220122200122010122220100
4231312012232021311011310
5202412002032322214220
61552455341212234100
760320204236532244
oct5566065611650564
9872818618118810
10201630161523060
11592779647684a6
121a74533916b930
138867847b81a8a
1437b0d47da3b24
151849ce3555d90
hexb761ae275174

201630161523060 has 144 divisors (see below), whose sum is σ = 612340050787920. Its totient is φ = 53704008529920.

The previous prime is 201630161523041. The next prime is 201630161523061. The reversal of 201630161523060 is 60325161036102.

201630161523060 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 3 + 0 + 1 + 615 + 2 + 30 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26017466935824 + 175612694587236 = 5100732^2 + 13251894^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201630161523061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1394433246 + ... + 1394577834.

It is an arithmetic number, because the mean of its divisors is an integer number (4252361463805).

Almost surely, 2201630161523060 is an apocalyptic number.

201630161523060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201630161523060 is an abundant number, since it is smaller than the sum of its proper divisors (410709889264860).

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

201630161523060 is a wasteful number, since it uses less digits than its factorization.

201630161523060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153778 (or 153773 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 201630161523060 in words is "two hundred one trillion, six hundred thirty billion, one hundred sixty-one million, five hundred twenty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 941 1882 2823 3764 4705 5646 8233 8469 9410 11292 14115 16466 16938 18820 24699 28230 32932 33876 41165 42345 49398 56460 74097 82330 84690 98796 123495 144589 148194 164660 169380 246990 289178 296388 370485 433767 493980 578356 722945 740970 867534 1301301 1445890 1481940 1735068 2168835 2602602 2891780 4337670 5205204 6506505 7747253 8675340 13013010 15494506 23241759 26026020 30989012 38736265 46483518 69725277 77472530 92967036 116208795 136058249 139450554 154945060 232417590 272116498 278901108 348626385 408174747 464835180 544232996 680291245 697252770 816349494 1190401237 1224524241 1360582490 1394505540 1632698988 2040873735 2380802474 2449048482 2721164980 3571203711 4081747470 4761604948 4898096964 5952006185 6122621205 7142407422 8163494940 10713611133 11904012370 12245242410 14284814844 17856018555 21427222266 23808024740 24490484820 35712037110 42854444532 53568055665 71424074220 107136111330 214272222660 1120167564017 2240335128034 3360502692051 4480670256068 5600837820085 6721005384102 10081508076153 11201675640170 13442010768204 16802513460255 20163016152306 22403351280340 33605026920510 40326032304612 50407540380765 67210053841020 100815080761530 201630161523060