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133848303204 = 223711215187211
BaseRepresentation
bin111110010100111111…
…0110000011001100100
3110210111010012022012010
41330221332300121210
54143110131200304
6141253345354220
712445612543140
oct1745176603144
9423433168163
10133848303204
1151845972300
1221b35638970
13c811251c15
14669a612220
153735b21789
hex1f29fb0664

133848303204 has 144 divisors (see below), whose sum is σ = 394929425408. Its totient is φ = 34535160000.

The previous prime is 133848303179. The next prime is 133848303209. The reversal of 133848303204 is 402303848331.

It is not an unprimeable number, because it can be changed into a prime (133848303209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1491159 + ... + 1578369.

Almost surely, 2133848303204 is an apocalyptic number.

133848303204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133848303204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197464712704).

133848303204 is an abundant number, since it is smaller than the sum of its proper divisors (261081122204).

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

133848303204 is a wasteful number, since it uses less digits than its factorization.

133848303204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87398 (or 87385 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 133848303204 in words is "one hundred thirty-three billion, eight hundred forty-eight million, three hundred three thousand, two hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 151 154 231 242 302 308 363 453 462 484 604 726 847 906 924 1057 1452 1661 1694 1812 2114 2541 3171 3322 3388 4228 4983 5082 6342 6644 9966 10164 11627 12684 18271 19932 23254 34881 36542 46508 54813 69762 73084 87211 109626 127897 139524 174422 219252 255794 261633 348844 383691 511588 523266 610477 767382 959321 1046532 1220954 1534764 1831431 1918642 2441908 2877963 3662862 3837284 5755926 6715247 7325724 10552531 11511852 13168861 13430494 20145741 21105062 26337722 26860988 31657593 39506583 40291482 42210124 52675444 63315186 73867717 79013166 80582964 92182027 126630372 144857471 147735434 158026332 184364054 221603151 276546081 289714942 295470868 368728108 434572413 443206302 553092162 579429884 869144826 886412604 1014002297 1106184324 1593432181 1738289652 2028004594 3042006891 3186864362 4056009188 4780296543 6084013782 6373728724 9560593086 11154025267 12168027564 19121186172 22308050534 33462075801 44616101068 66924151602 133848303204