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161150201460 = 22345460321611
BaseRepresentation
bin1001011000010101001…
…1001110111001110100
3120101221211112102210000
42112011103032321310
510120013422421320
6202010440031300
714433311053143
oct2260523167164
9511854472700
10161150201460
11623860a6586
1227294a62530
13122726465c1
147b2a59d75a
1542d293cc90
hex25854cee74

161150201460 has 120 divisors (see below), whose sum is σ = 505667375136. Its totient is φ = 42962063040.

The previous prime is 161150201447. The next prime is 161150201483. The reversal of 161150201460 is 64102051161.

161150201460 is a `hidden beast` number, since 1 + 6 + 11 + 502 + 0 + 146 + 0 = 666.

161150201460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1611502014602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7446055 + ... + 7467665.

Almost surely, 2161150201460 is an apocalyptic number.

161150201460 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 161150201460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252833687568).

161150201460 is an abundant number, since it is smaller than the sum of its proper divisors (344517173676).

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

161150201460 is a wasteful number, since it uses less digits than its factorization.

161150201460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26235 (or 26224 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 161150201460 in words is "one hundred sixty-one billion, one hundred fifty million, two hundred one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4603 9206 13809 18412 21611 23015 27618 41427 43222 46030 55236 64833 69045 82854 86444 92060 108055 124281 129666 138090 165708 194499 207135 216110 248562 259332 276180 324165 372843 388998 414270 432220 497124 583497 621405 648330 745686 777996 828540 972495 1166994 1242810 1296660 1491372 1750491 1864215 1944990 2333988 2485620 2917485 3500982 3728430 3889980 5834970 7001964 7456860 8752455 11669940 17504910 35009820 99475433 198950866 298426299 397901732 497377165 596852598 895278897 994754330 1193705196 1492131495 1790557794 1989508660 2685836691 2984262990 3581115588 4476394485 5371673382 5968525980 8057510073 8952788970 10743346764 13429183455 16115020146 17905577940 26858366910 32230040292 40287550365 53716733820 80575100730 161150201460