Search a number
-
+
172521106670 = 25112419735851
BaseRepresentation
bin1010000010101100001…
…1110010110011101110
3121111022021220021022102
42200223003302303232
510311310400403140
6211131034015102
715315143132243
oct2405303626356
9544267807272
10172521106670
1167190737a00
1229528b77492
1313365366593
1484c881d5ca
15474ad44e15
hex282b0f2cee

172521106670 has 96 divisors (see below), whose sum is σ = 353274995808. Its totient is φ = 60572160000.

The previous prime is 172521106657. The next prime is 172521106727. The reversal of 172521106670 is 76601125271.

172521106670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4794245 + ... + 4830095.

It is an arithmetic number, because the mean of its divisors is an integer number (3679947873).

Almost surely, 2172521106670 is an apocalyptic number.

172521106670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

172521106670 is an abundant number, since it is smaller than the sum of its proper divisors (180753889138).

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

172521106670 is a wasteful number, since it uses less digits than its factorization.

172521106670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36018 (or 36007 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 172521106670 in words is "one hundred seventy-two billion, five hundred twenty-one million, one hundred six thousand, six hundred seventy".

Divisors: 1 2 5 10 11 22 41 55 82 97 110 121 194 205 242 410 451 485 605 902 970 1067 1210 2134 2255 3977 4510 4961 5335 7954 9922 10670 11737 19885 23474 24805 35851 39770 43747 49610 58685 71702 87494 117370 179255 218735 358510 394361 437470 481217 788722 962434 1469891 1971805 2406085 2939782 3477547 3943610 4337971 4812170 6955094 7349455 8675942 14698910 16168801 17387735 21689855 32337602 34775470 38253017 43379710 76506034 80844005 142579427 161688010 177856811 191265085 285158854 355713622 382530170 420783187 712897135 841566374 889284055 1425794270 1568373697 1778568110 2103915935 3136747394 4207831870 7841868485 15683736970 17252110667 34504221334 86260553335 172521106670