Search a number
-
+
706272257271 = 37312113309707
BaseRepresentation
bin10100100011100010001…
…10110110010011110111
32111112000022212002011210
422101301012312103313
543032421144213041
61300242413332503
7102012041063610
oct12216106662367
92445008762153
10706272257271
1125258a305399
12b4a69197133
13517a7a6c089
1426280344c07
1513589a6e016
hexa4711b64f7

706272257271 has 48 divisors (see below), whose sum is σ = 1121906080512. Its totient is φ = 387107723520.

The previous prime is 706272257183. The next prime is 706272257309. The reversal of 706272257271 is 172752272607.

It is not a de Polignac number, because 706272257271 - 29 = 706272256759 is a prime.

It is a super-2 number, since 2×7062722572712 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 706272257271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706272257371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2125600 + ... + 2435306.

It is an arithmetic number, because the mean of its divisors is an integer number (23373043344).

Almost surely, 2706272257271 is an apocalyptic number.

706272257271 is a deficient number, since it is larger than the sum of its proper divisors (415633823241).

706272257271 is a wasteful number, since it uses less digits than its factorization.

706272257271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309892 (or 309861 counting only the distinct ones).

The product of its (nonzero) digits is 1152480, while the sum is 48.

The spelling of 706272257271 in words is "seven hundred six billion, two hundred seventy-two million, two hundred fifty-seven thousand, two hundred seventy-one".

Divisors: 1 3 7 21 31 93 113 217 339 651 791 961 2373 2883 3503 6727 10509 20181 24521 73563 108593 309707 325779 760151 929121 2167949 2280453 6503847 9600917 28802751 34996891 67206419 104990673 201619257 244978237 297628427 734934711 892885281 1084903621 2083398989 3254710863 6250196967 7594325347 22782976041 33632012251 100896036753 235424085757 706272257271