Search a number
-
+
154164320660460 = 223511281831253751
BaseRepresentation
bin100011000011011000101101…
…100100011110101111101100
3202012211222001120110221021010
4203003120231210132233230
5130201312012042113320
61303514040004105220
744321001403265445
oct4303305544365754
9665758046427233
10154164320660460
11451377a2a59160
121535a0b3095210
13680382caa5686
142a0d8430142cc
1512c527b33cae0
hex8c362d91ebec

154164320660460 has 96 divisors (see below), whose sum is σ = 472577733057024. Its totient is φ = 37240168000000.

The previous prime is 154164320660369. The next prime is 154164320660461. The reversal of 154164320660460 is 64066023461451.

It is a super-2 number, since 2×1541643206604602 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (154164320660461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415441416 + ... + 415812335.

It is an arithmetic number, because the mean of its divisors is an integer number (4922684719344).

Almost surely, 2154164320660460 is an apocalyptic number.

154164320660460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154164320660460 is an abundant number, since it is smaller than the sum of its proper divisors (318413412396564).

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

154164320660460 is a wasteful number, since it uses less digits than its factorization.

154164320660460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831254055 (or 831254053 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 154164320660460 in words is "one hundred fifty-four trillion, one hundred sixty-four billion, three hundred twenty million, six hundred sixty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 281 330 562 660 843 1124 1405 1686 2810 3091 3372 4215 5620 6182 8430 9273 12364 15455 16860 18546 30910 37092 46365 61820 92730 185460 831253751 1662507502 2493761253 3325015004 4156268755 4987522506 8312537510 9143791261 9975045012 12468806265 16625075020 18287582522 24937612530 27431373783 36575165044 45718956305 49875225060 54862747566 91437912610 109725495132 137156868915 182875825220 233582304031 274313737830 467164608062 548627475660 700746912093 934329216124 1167911520155 1401493824186 2335823040310 2569405344341 2802987648372 3503734560465 4671646080620 5138810688682 7007469120930 7708216033023 10277621377364 12847026721705 14014938241860 15416432066046 25694053443410 30832864132092 38541080165115 51388106886820 77082160330230 154164320660460