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153002104668 = 22327317728873
BaseRepresentation
bin1000111001111110100…
…0101101011101011100
3112121220222110020021100
42032133220231131130
510001322014322133
6154142130033100
714024351301000
oct2163750553534
9477828406240
10153002104668
1159984776896
12257a0118790
131157451c95a
147596384700
153ea743be13
hex239fa2d75c

153002104668 has 144 divisors (see below), whose sum is σ = 477558244800. Its totient is φ = 41143366656.

The previous prime is 153002104657. The next prime is 153002104693. The reversal of 153002104668 is 866401200351.

It is a happy number.

153002104668 is a `hidden beast` number, since 1 + 530 + 0 + 21 + 0 + 46 + 68 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154521 + ... + 574352.

It is an arithmetic number, because the mean of its divisors is an integer number (3316376700).

Almost surely, 2153002104668 is an apocalyptic number.

153002104668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

153002104668 is an abundant number, since it is smaller than the sum of its proper divisors (324556140132).

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

153002104668 is a wasteful number, since it uses less digits than its factorization.

153002104668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728921 (or 728902 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 153002104668 in words is "one hundred fifty-three billion, two million, one hundred four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 343 357 441 476 588 612 686 714 833 882 1029 1071 1372 1428 1666 1764 2058 2142 2499 3087 3332 4116 4284 4998 5831 6174 7497 9996 11662 12348 14994 17493 23324 29988 34986 52479 69972 104958 209916 728873 1457746 2186619 2915492 4373238 5102111 6559857 8746476 10204222 12390841 13119714 15306333 20408444 24781682 26239428 30612666 35714777 37172523 45918999 49563364 61225332 71429554 74345046 86735887 91837998 107144331 111517569 142859108 148690092 173471774 183675996 214288662 223035138 250003439 260207661 321432993 346943548 428577324 446070276 500006878 520415322 607151209 642865986 750010317 780622983 1000013756 1040830644 1214302418 1285731972 1500020634 1561245966 1821453627 2250030951 2428604836 3000041268 3122491932 3642907254 4250058463 4500061902 5464360881 7285814508 8500116926 9000123804 10928721762 12750175389 17000233852 21857443524 25500350778 38250526167 51000701556 76501052334 153002104668