Search a number
-
+
201084546095244 = 2232745711931463597
BaseRepresentation
bin101101101110001010100100…
…111100001001100010001100
3222100222111100202110010100100
4231232022210330021202030
5202324032122300021434
61551400544252131100
760232610336111250
oct5556124474114214
9870874322403310
10201084546095244
1159087528009a29
121a677647766a90
138828264484cc6
1437927888b0260
15183aa0ce6a699
hexb6e2a4f0988c

201084546095244 has 144 divisors (see below), whose sum is σ = 582670447265088. Its totient is φ = 57278918375424.

The previous prime is 201084546095239. The next prime is 201084546095327. The reversal of 201084546095244 is 442590645480102.

201084546095244 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 8 + 4 + 5 + 4 + 609 + 5 + 24 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136658854 + ... + 138122450.

It is an arithmetic number, because the mean of its divisors is an integer number (4046322550452).

Almost surely, 2201084546095244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201084546095244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291335223632544).

201084546095244 is an abundant number, since it is smaller than the sum of its proper divisors (381585901169844).

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

201084546095244 is a wasteful number, since it uses less digits than its factorization.

201084546095244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465264 (or 1465259 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 201084546095244 in words is "two hundred one trillion, eighty-four billion, five hundred forty-six million, ninety-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 457 914 1193 1371 1828 2386 2742 3199 3579 4113 4772 5484 6398 7158 8226 8351 9597 10737 12796 14316 16452 16702 19194 21474 25053 28791 33404 38388 42948 50106 57582 75159 100212 115164 150318 300636 545201 1090402 1463597 1635603 2180804 2927194 3271206 3816407 4390791 4906809 5854388 6542412 7632814 8781582 9813618 10245179 11449221 13172373 15265628 17563164 19627236 20490358 22898442 26344746 30735537 34347663 40980716 45796884 52689492 61471074 68695326 92206611 122942148 137390652 184413222 368826444 668863829 1337727658 1746071221 2006591487 2675455316 3492142442 4013182974 4682046803 5238213663 6019774461 6984284884 8026365948 9364093606 10476427326 12039548922 12222498547 14046140409 15714640989 18728187212 20952854652 24079097844 24444997094 28092280818 31429281978 36667495641 42138421227 48889994188 56184561636 62858563956 73334991282 84276842454 110002486923 146669982564 168553684908 220004973846 440009947692 797954547997 1595909095994 2393863643991 3191818191988 4787727287982 5585681835979 7181590931973 9575454575964 11171363671958 14363181863946 16757045507937 22342727343916 28726363727892 33514091015874 50271136523811 67028182031748 100542273047622 201084546095244