Search a number
-
+
172001765844 = 223317238339313
BaseRepresentation
bin1010000000110000011…
…0101010100111010100
3121102222002200000122000
42200030012222213110
510304224423001334
6211003322435300
715266235613116
oct2401406524724
9542862600560
10172001765844
1166a44570507
1229403062b30
13132b189c10c
1484798713b6
15471a45b299
hex280c1aa9d4

172001765844 has 96 divisors (see below), whose sum is σ = 472371863040. Its totient is φ = 53937321984.

The previous prime is 172001765843. The next prime is 172001765863. The reversal of 172001765844 is 448567100271.

It is a self number, because there is not a number n which added to its sum of digits gives 172001765844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172001765843) 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, 4355532 + ... + 4394844.

It is an arithmetic number, because the mean of its divisors is an integer number (4920540240).

Almost surely, 2172001765844 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 172001765844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236185931520).

172001765844 is an abundant number, since it is smaller than the sum of its proper divisors (300370097196).

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

172001765844 is a wasteful number, since it uses less digits than its factorization.

172001765844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41726 (or 41718 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 172001765844 in words is "one hundred seventy-two billion, one million, seven hundred sixty-five thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 2383 4766 7149 9532 14298 21447 28596 39313 40511 42894 64341 78626 81022 85788 117939 121533 128682 157252 162044 235878 243066 257364 353817 364599 471756 486132 668321 707634 729198 1061451 1093797 1336642 1415268 1458396 2004963 2122902 2187594 2673284 4009926 4245804 4375188 6014889 8019852 12029778 18044667 24059556 36089334 72178668 93682879 187365758 281048637 374731516 562097274 843145911 1124194548 1592608943 1686291822 2529437733 3185217886 3372583644 4777826829 5058875466 6370435772 9555653658 10117750932 14333480487 19111307316 28666960974 43000441461 57333921948 86000882922 172001765844