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172803506941 = 13175997317431
BaseRepresentation
bin1010000011101111100…
…1000100001011111101
3121112000222021200122201
42200323321010023331
510312400144210231
6211215042511501
715325142400532
oct2407371041375
9545028250581
10172803506941
116731609045a
12295a7665591
13133aba11630
148514130d89
154765a29161
hex283be442fd

172803506941 has 64 divisors (see below), whose sum is σ = 203558261760. Its totient is φ = 145263329280.

The previous prime is 172803506927. The next prime is 172803506957. The reversal of 172803506941 is 149605308271.

It is a cyclic number.

It is not a de Polignac number, because 172803506941 - 217 = 172803375869 is a prime.

It is a super-2 number, since 2×1728035069412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 172803506891 and 172803506900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172803306941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 400935996 + ... + 400936426.

It is an arithmetic number, because the mean of its divisors is an integer number (3180597840).

It is a 1-persistent number, because it is pandigital, but 2⋅172803506941 = 345607013882 is not.

Almost surely, 2172803506941 is an apocalyptic number.

It is an amenable number.

172803506941 is a deficient number, since it is larger than the sum of its proper divisors (30754754819).

172803506941 is a wasteful number, since it uses less digits than its factorization.

172803506941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 172803506941 in words is "one hundred seventy-two billion, eight hundred three million, five hundred six thousand, nine hundred forty-one".

Divisors: 1 13 17 59 97 221 317 431 767 1003 1261 1649 4121 5389 5603 5723 7327 13039 18703 21437 25429 30749 41807 70057 74399 95251 97291 136627 243139 317951 330577 399737 432293 522733 543491 710719 1264783 1776151 1814191 2322659 2466613 4133363 5619809 6795529 8060993 9239347 13252819 23584483 30194567 30841247 32065969 41932421 104792909 137036881 172286647 225297923 400936211 545121473 781916321 1781479453 2928872999 10164912173 13292577457 172803506941