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172349943271 = 1167273137349
BaseRepresentation
bin1010000010000011011…
…0110110110111100111
3121110212100211021021021
42200200312312313213
510310433041141041
6211102041232011
715310664226502
oct2404066666747
9543770737237
10172349943271
1167103060350
122949b792607
1313338a6786c
1484adbc6139
15473acd4cd1
hex2820db6de7

172349943271 has 48 divisors (see below), whose sum is σ = 195451552800. Its totient is φ = 150684779520.

The previous prime is 172349943247. The next prime is 172349943287.

It is a happy number.

172349943271 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-172349943271 is a prime.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172349943221) 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, 493839205 + ... + 493839553.

It is an arithmetic number, because the mean of its divisors is an integer number (4071907350).

Almost surely, 2172349943271 is an apocalyptic number.

172349943271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

172349943271 is a deficient number, since it is larger than the sum of its proper divisors (23101609529).

172349943271 is a wasteful number, since it uses less digits than its factorization.

172349943271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 637 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 52.

It can be divided in two parts, 1723 and 49943271, that added together give a palindrome (49944994).

The spelling of 172349943271 in words is "one hundred seventy-two billion, three hundred forty-nine million, nine hundred forty-three thousand, two hundred seventy-one".

Divisors: 1 11 67 73 137 349 737 803 1507 3839 4489 4891 9179 10001 23383 25477 47813 49379 53801 100969 110011 257213 280247 327697 525943 614993 670067 1566661 1706959 3203471 3490349 3604667 6764923 7370737 17233271 18776549 35238181 38393839 44894489 114366253 214632557 233853383 493839379 1258028783 2360958127 2572387213 15668176661 172349943271