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331793490717 = 32133371273571
BaseRepresentation
bin1001101010000000110…
…11101110001100011101
31011201102020222200212100
410311000123232030131
520414003113200332
6412231313555313
732654103065163
oct4650033561435
91151366880770
10331793490717
11118792859467
1254378b75b39
1325398945000
14120b784b233
15896d9a767c
hex4d406ee31d

331793490717 has 96 divisors (see below), whose sum is σ = 537557995520. Its totient is φ = 197042751360.

The previous prime is 331793490697. The next prime is 331793490773. The reversal of 331793490717 is 717094397133.

It is not a de Polignac number, because 331793490717 - 219 = 331792966429 is a prime.

It is a super-2 number, since 2×3317934907172 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331793490797) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 92911542 + ... + 92915112.

Almost surely, 2331793490717 is an apocalyptic number.

331793490717 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

331793490717 is a deficient number, since it is larger than the sum of its proper divisors (205764504803).

331793490717 is a wasteful number, since it uses less digits than its factorization.

331793490717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 331793490717 in words is "three hundred thirty-one billion, seven hundred ninety-three million, four hundred ninety thousand, seven hundred seventeen".

Divisors: 1 3 9 13 37 39 111 117 127 169 333 381 481 507 1143 1443 1521 1651 2197 3571 4329 4699 4953 6253 6591 10713 14097 14859 18759 19773 21463 32139 42291 46423 56277 61087 64389 81289 132127 139269 183261 193167 243867 279019 396381 417807 453517 549783 603499 731601 794131 837057 1189143 1360551 1717651 1810497 2382393 2511171 4081653 5152953 5431491 5895721 7147179 7845487 10323703 15458859 16780129 17687163 22329463 23536461 30971109 50340387 53061489 66988389 70609383 76644373 92913327 151021161 200965167 218141677 229933119 290283019 654425031 689799357 870849057 996376849 1963275093 2612547171 2835841801 2989130547 8507525403 8967391641 25522576209 36865943413 110597830239 331793490717