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1364351005332 = 22347312276851
BaseRepresentation
bin10011110110101001101…
…010000011001010010100
311211102121222010020020000
4103312221222003022110
5134323142324132312
62522435121011300
7200366614125000
oct23665152031224
94742558106200
101364351005332
11486688634a27
121a0506483b30
139b8720c19a3
144a06bc41700
1525753634adc
hex13da9a83294

1364351005332 has 120 divisors (see below), whose sum is σ = 4159397457600. Its totient is φ = 389814541200.

The previous prime is 1364351005309. The next prime is 1364351005351. The reversal of 1364351005332 is 2335001534631.

1364351005332 is a `hidden beast` number, since 1 + 3 + 64 + 3 + 510 + 0 + 53 + 32 = 666.

It is a super-2 number, since 2×13643510053322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 6027294 + ... + 6249557.

It is an arithmetic number, because the mean of its divisors is an integer number (34661645480).

Almost surely, 21364351005332 is an apocalyptic number.

1364351005332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1364351005332 is an abundant number, since it is smaller than the sum of its proper divisors (2795046452268).

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

1364351005332 is a wasteful number, since it uses less digits than its factorization.

1364351005332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12276888 (or 12276863 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 1364351005332 its reverse (2335001534631), we get a palindrome (3699352539963).

The spelling of 1364351005332 in words is "one trillion, three hundred sixty-four billion, three hundred fifty-one million, five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 343 378 441 567 588 686 756 882 1029 1134 1323 1372 1764 2058 2268 2646 3087 3969 4116 5292 6174 7938 9261 12348 15876 18522 27783 37044 55566 111132 12276851 24553702 36830553 49107404 73661106 85937957 110491659 147322212 171875914 220983318 257813871 331474977 343751828 441966636 515627742 601565699 662949954 773441613 994424931 1031255484 1203131398 1325899908 1546883226 1804697097 1988849862 2320324839 2406262796 3093766452 3609394194 3977699724 4210959893 4640649678 5414091291 6960974517 7218788388 8421919786 9281299356 10828182582 12632879679 13921949034 16242273873 16843839572 21656365164 25265759358 27843898068 32484547746 37898639037 48726821619 50531518716 64969095492 75797278074 97453643238 113695917111 151594556148 194907286476 227391834222 341087751333 454783668444 682175502666 1364351005332