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172106998722 = 236376474931
BaseRepresentation
bin1010000001001001100…
…0000110001111000010
3121110020102200102000000
42200102120012033002
510304433342424342
6211022002140430
715301654231401
oct2402230061702
9543212612000
10172106998722
1166a98a0652a
1229432351716
13132ca6256a9
148489825638
1547247e644c
hex28126063c2

172106998722 has 112 divisors (see below), whose sum is σ = 398220017472. Its totient is φ = 55720910880.

The previous prime is 172106998709. The next prime is 172106998769. The reversal of 172106998722 is 227899601271.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 34900597 + ... + 34905527.

Almost surely, 2172106998722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172106998722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199110008736).

172106998722 is an abundant number, since it is smaller than the sum of its proper divisors (226113018750).

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

172106998722 is an equidigital number, since it uses as much as digits as its factorization.

172106998722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 172106998722 in words is "one hundred seventy-two billion, one hundred six million, nine hundred ninety-eight thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 647 666 729 999 1294 1458 1941 1998 2997 3882 4931 5823 5994 8991 9862 11646 14793 17469 17982 23939 26973 29586 34938 44379 47878 52407 53946 71817 88758 104814 133137 143634 157221 182447 215451 266274 314442 364894 399411 430902 471663 547341 646353 798822 943326 1094682 1198233 1292706 1642023 1939059 2396466 3190357 3284046 3594699 3878118 4926069 5817177 6380714 7189398 9571071 9852138 11634354 14778207 17451531 19142142 28713213 29556414 34903062 44334621 57426426 86139639 88669242 118043209 133003863 172279278 236086418 258418917 266007726 354129627 516837834 708259254 775256751 1062388881 1550513502 2124777762 2325770253 3187166643 4651540506 6374333286 9561499929 19122999858 28684499787 57368999574 86053499361 172106998722