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161890230960 = 24335229327289
BaseRepresentation
bin1001011011000101101…
…0001110001010110000
3120110212102000211102000
42112301122032022300
510123022344342320
6202212113254000
714460535154433
oct2266132161260
9513772024360
10161890230960
11627258a6707
1227460864300
131235ca5ca93
147b9a99781a
1543278bac90
hex25b168e2b0

161890230960 has 160 divisors (see below), whose sum is σ = 560058648000. Its totient is φ = 42982078464.

The previous prime is 161890230923. The next prime is 161890230973. The reversal of 161890230960 is 69032098161.

It is a happy number.

161890230960 is a `hidden beast` number, since 1 + 618 + 9 + 0 + 23 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330996 + ... + 658284.

It is an arithmetic number, because the mean of its divisors is an integer number (3500366550).

Almost surely, 2161890230960 is an apocalyptic number.

161890230960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161890230960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280029324000).

161890230960 is an abundant number, since it is smaller than the sum of its proper divisors (398168417040).

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

161890230960 is a wasteful number, since it uses less digits than its factorization.

161890230960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327540 (or 327528 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 161890230960 in words is "one hundred sixty-one billion, eight hundred ninety million, two hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 229 240 270 360 432 458 540 687 720 916 1080 1145 1374 1832 2061 2160 2290 2748 3435 3664 4122 4580 5496 6183 6870 8244 9160 10305 10992 12366 13740 16488 18320 20610 24732 27480 30915 32976 41220 49464 54960 61830 82440 98928 123660 164880 247320 327289 494640 654578 981867 1309156 1636445 1963734 2618312 2945601 3272890 3927468 4909335 5236624 5891202 6545780 7854936 8836803 9818670 11782404 13091560 14728005 15709872 17673606 19637340 23564808 26183120 29456010 35347212 39274680 44184015 47129616 58912020 70694424 74949181 78549360 88368030 117824040 141388848 149898362 176736060 224847543 235648080 299796724 353472120 374745905 449695086 599593448 674542629 706944240 749491810 899390172 1124237715 1199186896 1349085258 1498983620 1798780344 2023627887 2248475430 2698170516 2997967240 3372713145 3597560688 4047255774 4496950860 5396341032 5995934480 6745426290 8094511548 8993901720 10118139435 10792682064 13490852580 16189023096 17987803440 20236278870 26981705160 32378046192 40472557740 53963410320 80945115480 161890230960