Search a number
-
+
3995795950272 = 263272141574403
BaseRepresentation
bin111010001001010111111…
…111111000101011000000
3112010222211220000211212200
4322021113333320223000
51010431342230402042
612255350542353200
7561454356114300
oct72112777705300
915128756024780
103995795950272
111300675709905
125464b3b8b800
1322ca56b32649
14db57cc71600
156de16d7ac4c
hex3a257ff8ac0

3995795950272 has 126 divisors (see below), whose sum is σ = 13323142437228. Its totient is φ = 1141655977728.

The previous prime is 3995795950243. The next prime is 3995795950283. The reversal of 3995795950272 is 2720595975993.

3995795950272 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 7 + 9 + 595 + 0 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3995795950272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 70758978 + ... + 70815425.

Almost surely, 23995795950272 is an apocalyptic number.

3995795950272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3995795950272 is an abundant number, since it is smaller than the sum of its proper divisors (9327346486956).

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

3995795950272 is a wasteful number, since it uses less digits than its factorization.

3995795950272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141574435 (or 141574415 counting only the distinct ones).

The product of its (nonzero) digits is 482233500, while the sum is 72.

The spelling of 3995795950272 in words is "three trillion, nine hundred ninety-five billion, seven hundred ninety-five million, nine hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 141574403 283148806 424723209 566297612 849446418 991020821 1132595224 1274169627 1698892836 1982041642 2265190448 2548339254 2973062463 3397785672 3964083284 4530380896 5096678508 5946124926 6795571344 6937145747 7928166568 8919187389 9060761792 10193357016 11892249852 13591142688 13874291494 15856333136 17838374778 20386714032 20811437241 23784499704 27182285376 27748582988 31712666272 35676749556 40773428064 41622874482 47568999408 55497165976 62434311723 63425332544 71353499112 81546856128 83245748964 95137998816 110994331952 124868623446 142706998224 166491497928 190275997632 221988663904 249737246892 285413996448 332982995856 443977327808 499474493784 570827992896 665965991712 998948987568 1331931983424 1997897975136 3995795950272