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11378740373 = 71113174147347
BaseRepresentation
bin10101001100011100…
…11100110010010101
31002101000002220100122
422212032130302111
5141300424142443
65121033521325
7551655461120
oct124616346225
932330086318
1011378740373
11490a003070
122256873245
1310c4534390
1479d2dd3b7
15468e53968
hex2a639cc95

11378740373 has 128 divisors (see below), whose sum is σ = 16972333056. Its totient is φ = 7334092800.

The previous prime is 11378740369. The next prime is 11378740391. The reversal of 11378740373 is 37304787311.

11378740373 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11378740373 - 22 = 11378740369 is a prime.

It is a super-3 number, since 3×113787403733 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11378740313) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 32791586 + ... + 32791932.

It is an arithmetic number, because the mean of its divisors is an integer number (132596352).

Almost surely, 211378740373 is an apocalyptic number.

11378740373 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11378740373 is a deficient number, since it is larger than the sum of its proper divisors (5593592683).

11378740373 is a wasteful number, since it uses less digits than its factorization.

11378740373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483.

The product of its (nonzero) digits is 296352, while the sum is 44.

The spelling of 11378740373 in words is "eleven billion, three hundred seventy-eight million, seven hundred forty thousand, three hundred seventy-three".

Divisors: 1 7 11 13 17 41 47 77 91 119 143 187 221 287 329 347 451 517 533 611 697 799 1001 1309 1547 1927 2429 2431 3157 3619 3731 3817 4277 4511 4879 5593 5863 5899 6721 7667 8789 9061 10387 13489 14227 16309 17017 21197 25051 26719 31577 32759 41041 41293 47047 49621 53669 61523 63427 64889 72709 76687 99589 99671 114163 114257 148379 156497 175357 179399 184951 212017 229313 241859 275561 277253 347347 360349 425867 454223 536809 668669 697697 799799 843557 1095479 1255793 1294657 1484119 1693013 1928927 1940771 2034461 2332187 2522443 2660449 2981069 3049783 3144167 3604289 4680683 4684537 5904899 7355359 8692697 11367373 14241227 16325309 18623143 21348481 22009169 25230023 32791759 34585837 39647179 51487513 60848879 79571611 95619667 125041103 147775849 242100859 277530253 669337669 875287721 1034430943 1625534339 11378740373