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23180971716 = 2234719995113
BaseRepresentation
bin10101100101101100…
…011000111011000100
32012211112002101010000
4111211230120323010
5334433312043331
614352120401300
71450306002630
oct254554307304
965745071100
1023180971716
119916066171
1245ab316230
132255713416
14119c959dc0
1590a15b0e6
hex565b18ec4

23180971716 has 120 divisors (see below), whose sum is σ = 69304928000. Its totient is φ = 6618526848.

The previous prime is 23180971687. The next prime is 23180971721. The reversal of 23180971716 is 61717908132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4531176 + ... + 4536288.

Almost surely, 223180971716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23180971716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34652464000).

23180971716 is an abundant number, since it is smaller than the sum of its proper divisors (46123956284).

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

23180971716 is a wasteful number, since it uses less digits than its factorization.

23180971716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7135 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 23180971716 in words is "twenty-three billion, one hundred eighty million, nine hundred seventy-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 1999 2268 3998 5113 5997 7996 10226 11994 13993 15339 17991 20452 23988 27986 30678 35791 35982 41979 46017 53973 55972 61356 71582 71964 83958 92034 107373 107946 125937 138051 143164 161919 167916 184068 214746 215892 251874 276102 322119 323838 377811 414153 429492 503748 552204 644238 647676 755622 828306 966357 1133433 1288476 1511244 1656612 1932714 2266866 2899071 3865428 4533732 5798142 10220887 11596284 20441774 30662661 40883548 61325322 71546209 91987983 122650644 143092418 183975966 214638627 275963949 286184836 367951932 429277254 551927898 643915881 827891847 858554508 1103855796 1287831762 1655783694 1931747643 2575663524 3311567388 3863495286 5795242929 7726990572 11590485858 23180971716