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8372117364 = 223132171912781
BaseRepresentation
bin1111100110000010…
…00101111101110100
3210121110121121221220
413303001011331310
5114121230223424
63502431310340
7414316552302
oct76301057564
923543547856
108372117364
113606929766
12175797b3b0
13a35671400
14595c91272
15340002579
hex1f3045f74

8372117364 has 144 divisors (see below), whose sum is σ = 23578188480. Its totient is φ = 2296719360.

The previous prime is 8372117339. The next prime is 8372117371. The reversal of 8372117364 is 4637112738.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648654 + ... + 661434.

It is an arithmetic number, because the mean of its divisors is an integer number (163737420).

Almost surely, 28372117364 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 8372117364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11789094240).

8372117364 is an abundant number, since it is smaller than the sum of its proper divisors (15206071116).

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

8372117364 is a wasteful number, since it uses less digits than its factorization.

8372117364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12850 (or 12835 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 8372117364 is about 91499.2752102442. The cubic root of 8372117364 is about 2030.5410291621.

The spelling of 8372117364 in words is "eight billion, three hundred seventy-two million, one hundred seventeen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 17 19 26 34 38 39 51 52 57 68 76 78 102 114 156 169 204 221 228 247 323 338 442 494 507 646 663 676 741 884 969 988 1014 1292 1326 1482 1938 2028 2652 2873 2964 3211 3876 4199 5746 6422 8398 8619 9633 11492 12597 12781 12844 16796 17238 19266 25194 25562 34476 38343 38532 50388 51124 54587 76686 109174 153372 163761 166153 217277 218348 242839 327522 332306 434554 485678 498459 651831 655044 664612 728517 869108 971356 996918 1303662 1457034 1993836 2159989 2607324 2824601 2914068 3156907 4128263 4319978 5649202 6313814 6479967 8256526 8473803 8639956 9470721 11298404 12384789 12627628 12959934 16513052 16947606 18941442 24769578 25919868 33895212 36719813 37882884 41039791 49539156 53667419 73439626 82079582 107334838 110159439 123119373 146879252 161002257 164159164 214669676 220318878 246238746 322004514 440637756 492477492 644009028 697676447 1395352894 2093029341 2790705788 4186058682 8372117364