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11392375013968 = 24131747337320323
BaseRepresentation
bin1010010111000111111001…
…1101110100001001010000
31111100002201012110121212011
42211301332131310021100
52443123041000421333
640121330153512304
72254033446602344
oct245617635641120
944302635417764
1011392375013968
1136a252a773463
12133bb03412694
136483b1122b30
142b5572bad624
1514b51d9829cd
hexa5c7e774250

11392375013968 has 160 divisors (see below), whose sum is σ = 25713295243776. Its totient is φ = 4841757794304.

The previous prime is 11392375013893. The next prime is 11392375013969. The reversal of 11392375013968 is 86931057329311.

11392375013968 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 not an unprimeable number, because it can be changed into a prime (11392375013969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560555455 + ... + 560575777.

Almost surely, 211392375013968 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 11392375013968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856647621888).

11392375013968 is an abundant number, since it is smaller than the sum of its proper divisors (14320920229808).

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

11392375013968 is a wasteful number, since it uses less digits than its factorization.

11392375013968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23781 (or 23775 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 58.

The spelling of 11392375013968 in words is "eleven trillion, three hundred ninety-two billion, three hundred seventy-five million, thirteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 47 52 68 94 104 136 188 208 221 272 376 442 611 752 799 884 1222 1598 1768 2444 3196 3373 3536 4888 6392 6746 9776 10387 12784 13492 20323 20774 26984 40646 41548 43849 53968 57341 81292 83096 87698 114682 158531 162584 166192 175396 229364 264199 317062 325168 345491 350792 458728 528398 634124 690982 701584 745433 917456 955181 1056796 1268248 1381964 1490866 1910362 2060903 2113592 2536496 2695027 2763928 2981732 3820724 4121806 4227184 4491383 5390054 5527856 5963464 7641448 8243612 8982766 10780108 11926928 12417353 15282896 16238077 16487224 17965532 21560216 24834706 32476154 32974448 35035351 35931064 43120432 49669412 64952308 68549479 70070702 71862128 99338824 129904616 137098958 140141404 198677648 211095001 259809232 274197916 280282808 422190002 548395832 560565616 844380004 891143227 1096791664 1165341143 1688760008 1782286454 2330682286 3221825513 3377520016 3564572908 4661364572 6443651026 7129145816 9322729144 12887302052 14258291632 15149434859 18645458288 25774604104 30298869718 41883731669 51549208208 54771033721 60597739436 83767463338 109542067442 121195478872 167534926676 219084134884 242390957744 335069853352 438168269768 670139706704 712023438373 876336539536 1424046876746 2848093753492 5696187506984 11392375013968