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33399734004 = 223271323443273
BaseRepresentation
bin11111000110110001…
…110111111011110100
310012012200111021200100
4133012301313323310
51021400312442004
623202120114100
72261451024540
oct370661677364
9105180437610
1033399734004
111318a30855a
126581605930
1331c3826b20
14188bb86a20
15d0732c739
hex7c6c77ef4

33399734004 has 144 divisors (see below), whose sum is σ = 108428366592. Its totient is φ = 8425714176.

The previous prime is 33399733987. The next prime is 33399734051. The reversal of 33399734004 is 40043799333.

It is a super-2 number, since 2×333997340042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146289 + ... + 296984.

It is an arithmetic number, because the mean of its divisors is an integer number (752974768).

Almost surely, 233399734004 is an apocalyptic number.

It is an amenable number.

33399734004 is an abundant number, since it is smaller than the sum of its proper divisors (75028632588).

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

33399734004 is a wasteful number, since it uses less digits than its factorization.

33399734004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443326 (or 443321 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 33399734004 in words is "thirty-three billion, three hundred ninety-nine million, seven hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 23 26 28 36 39 42 46 52 63 69 78 84 91 92 117 126 138 156 161 182 207 234 252 273 276 299 322 364 414 468 483 546 598 644 819 828 897 966 1092 1196 1449 1638 1794 1932 2093 2691 2898 3276 3588 4186 5382 5796 6279 8372 10764 12558 18837 25116 37674 75348 443273 886546 1329819 1773092 2659638 3102911 3989457 5319276 5762549 6205822 7978914 9308733 10195279 11525098 12411644 15957828 17287647 18617466 20390558 23050196 27926199 30585837 34575294 37234932 40337843 40781116 51862941 55852398 61171674 69150588 71366953 80675686 91757511 103725882 111704796 121013529 122343348 132538627 142733906 161351372 183515022 207451764 214100859 242027058 265077254 285467812 363040587 367030044 397615881 428201718 484054116 530154508 642302577 726081174 795231762 856403436 927770389 1192847643 1284605154 1452162348 1590463524 1855540778 2385695286 2569210308 2783311167 3711081556 4771390572 5566622334 8349933501 11133244668 16699867002 33399734004