Search a number
-
+
171082956044 = 2271113217919609
BaseRepresentation
bin1001111101010101010…
…1101011110100001100
3121100121001202122112102
42133111111223310030
510300334214043134
6210332221254232
715234411063260
oct2372525536414
9540531678472
10171082956044
1166612961070
12291a7404378
131319641ac90
1483cd81a0a0
1546b496637e
hex27d556bd0c

171082956044 has 96 divisors (see below), whose sum is σ = 402190118400. Its totient is φ = 61496962560.

The previous prime is 171082956043. The next prime is 171082956047. The reversal of 171082956044 is 440659280171.

It is a happy number.

It is a super-2 number, since 2×1710829560442 (a number of 23 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 171082956044.

It is not an unprimeable number, because it can be changed into a prime (171082956041) 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, 8714912 + ... + 8734520.

It is an arithmetic number, because the mean of its divisors is an integer number (4189480400).

Almost surely, 2171082956044 is an apocalyptic number.

171082956044 is a gapful number since it is divisible by the number (14) 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 171082956044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201095059200).

171082956044 is an abundant number, since it is smaller than the sum of its proper divisors (231107162356).

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

171082956044 is a wasteful number, since it uses less digits than its factorization.

171082956044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21823 (or 21821 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 171082956044 in words is "one hundred seventy-one billion, eighty-two million, nine hundred fifty-six thousand, forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 2179 4004 4358 8716 15253 19609 23969 28327 30506 39218 47938 56654 61012 78436 95876 113308 137263 167783 198289 215699 254917 274526 311597 335566 396578 431398 509834 549052 623194 671132 793156 862796 1019668 1246388 1509893 1784419 2181179 2804087 3019786 3568838 4362358 5608174 6039572 7137676 8724716 11216348 19628609 39257218 42728011 78514436 85456022 170912044 299096077 470008121 555464143 598192154 940016242 1110928286 1196384308 1880032484 2221856572 3290056847 3888249001 6110105573 6580113694 7776498002 12220211146 13160227388 15552996004 24440422292 42770739011 85541478022 171082956044