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23704055040732 = 22311377121681563
BaseRepresentation
bin1010110001111000001111…
…10001111100101011011100
310002221002022100111120222120
411120330013301330223130
511101331401042300412
6122225254220342540
74664363403256503
oct530740761745334
9102832270446876
1023704055040732
11760991911a540
1227aa0080a4a50
13102c38a403b51
145bd3d4c1983a
152b18e467ab8c
hex158f07c7cadc

23704055040732 has 96 divisors (see below), whose sum is σ = 61977133580544. Its totient is φ = 6987918873600.

The previous prime is 23704055040661. The next prime is 23704055040733.

23704055040732 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23704055040733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34438183 + ... + 35119745.

It is an arithmetic number, because the mean of its divisors is an integer number (645595141464).

Almost surely, 223704055040732 is an apocalyptic number.

23704055040732 is a gapful number since it is divisible by the number (22) 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 23704055040732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30988566790272).

23704055040732 is an abundant number, since it is smaller than the sum of its proper divisors (38273078539812).

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

23704055040732 is a wasteful number, since it uses less digits than its factorization.

23704055040732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688739 (or 688737 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 42.

The spelling of 23704055040732 in words is "twenty-three trillion, seven hundred four billion, fifty-five million, forty thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 7121 14242 21363 28484 42726 78331 85452 156662 234993 263477 313324 469986 526954 681563 790431 939972 1053908 1363126 1580862 2044689 2726252 2898247 3161724 4089378 5796494 7497193 8178756 8694741 11592988 14994386 17389482 22491579 25217831 29988772 34778964 44983158 50435662 75653493 89966316 100871324 151306986 277396141 302613972 554792282 832188423 1109584564 1664376846 3328753692 4853410123 9706820246 14560230369 19413640492 29120460738 53387511353 58240921476 106775022706 160162534059 179576174551 213550045412 320325068118 359152349102 538728523653 640650136236 718304698204 1077457047306 1975337920061 2154914094612 3950675840122 5926013760183 7901351680244 11852027520366 23704055040732