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172873144431 = 3513196834217
BaseRepresentation
bin1010000100000000001…
…0101101100001101111
3121112012211022122100000
42201000002231201233
510313021011110211
6211230011235343
715326646324351
oct2410002554157
9545184278300
10172873144431
11673514240a9
1229606a48b53
13133c0284150
14851d49b0d1
15476bbd2656
hex28400ad86f

172873144431 has 96 divisors (see below), whose sum is σ = 294050615040. Its totient is φ = 100612917504.

The previous prime is 172873144417. The next prime is 172873144447. The reversal of 172873144431 is 134441378271.

172873144431 is a `hidden beast` number, since 1 + 7 + 2 + 8 + 73 + 144 + 431 = 666.

It is not a de Polignac number, because 172873144431 - 213 = 172873136239 is a prime.

It is a super-2 number, since 2×1728731444312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172873144471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40992235 + ... + 40996451.

It is an arithmetic number, because the mean of its divisors is an integer number (3063027240).

Almost surely, 2172873144431 is an apocalyptic number.

172873144431 is a deficient number, since it is larger than the sum of its proper divisors (121177470609).

172873144431 is a wasteful number, since it uses less digits than its factorization.

172873144431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4935 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 172873144431 in words is "one hundred seventy-two billion, eight hundred seventy-three million, one hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 13 19 27 39 57 81 117 171 243 247 351 513 683 741 1053 1539 2049 2223 3159 4217 4617 6147 6669 8879 12651 12977 18441 20007 26637 37953 38931 54821 55323 60021 79911 80123 113859 116793 164463 165969 168701 239733 240369 341577 350379 493389 506103 719199 721107 1024731 1041599 1051137 1480167 1518309 2157597 2163321 2880211 3124797 3153411 4440501 4554927 6489963 8640633 9374391 13321503 13664781 19469889 25921899 28123173 37442743 40994343 54724009 77765697 84369519 112328229 164172027 233297091 253108557 336984687 492516081 699891273 711412117 1010954061 1477548243 2134236351 3032862183 4432644729 6402709053 9098586549 13297934187 19208127159 57624381477 172873144431