Search a number
-
+
172204896348 = 22331679719833
BaseRepresentation
bin1010000001100000110…
…1100011000001011100
3121110111020220010022000
42200120031203001130
510310133423140343
6211035420322300
715304253316252
oct2403015430134
9543436803260
10172204896348
11670391a1461
122945b0a3390
13133149b1294
14849882a5d2
15472d1d2ed3
hex281836305c

172204896348 has 96 divisors (see below), whose sum is σ = 449638801920. Its totient is φ = 56993351040.

The previous prime is 172204896289. The next prime is 172204896371. The reversal of 172204896348 is 843698402271.

172204896348 is a `hidden beast` number, since 1 + 7 + 2 + 204 + 8 + 96 + 348 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 172204896294 and 172204896303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17508040 + ... + 17517872.

It is an arithmetic number, because the mean of its divisors is an integer number (4683737520).

Almost surely, 2172204896348 is an apocalyptic number.

172204896348 is a gapful number since it is divisible by the number (18) 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 172204896348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224819400960).

172204896348 is an abundant number, since it is smaller than the sum of its proper divisors (277433905572).

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

172204896348 is a wasteful number, since it uses less digits than its factorization.

172204896348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10984 (or 10976 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 172204896348 in words is "one hundred seventy-two billion, two hundred four million, eight hundred ninety-six thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 167 334 501 668 971 1002 1503 1942 2004 2913 3006 3884 4509 5826 6012 8739 9018 9833 11652 17478 18036 19666 26217 29499 34956 39332 52434 58998 88497 104868 117996 162157 176994 265491 324314 353988 486471 530982 648628 972942 1061964 1459413 1642111 1945884 2918826 3284222 4378239 4926333 5837652 6568444 8756478 9547843 9852666 14778999 17512956 19095686 19705332 28643529 29557998 38191372 44336997 57287058 59115996 85930587 88673994 114574116 171861174 177347988 257791761 343722348 515583522 1031167044 1594489781 3188979562 4783469343 6377959124 9566938686 14350408029 19133877372 28700816058 43051224087 57401632116 86102448174 172204896348