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55505141370810 = 232517113153320609
BaseRepresentation
bin11001001111011010011000…
…01111000000111110111010
321021112020110201212210122200
430213231030033000332322
524233344012142331220
6314014413202331030
714456054101120125
oct1447551417007672
9237466421783580
1055505141370810
111675a66431902a
126285327659a76
1324c815cb60b51
14d9c66ad553bc
15663c39543890
hex327b4c3c0fba

55505141370810 has 96 divisors (see below), whose sum is σ = 152804216195280. Its totient is φ = 13930535583744.

The previous prime is 55505141370803. The next prime is 55505141370851. The reversal of 55505141370810 is 1807314150555.

55505141370810 is a `hidden beast` number, since 5 + 5 + 50 + 514 + 1 + 3 + 7 + 0 + 81 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20381134615209 + 35124006755601 = 4514547^2 + 5926551^2 .

It is a super-2 number, since 2×555051413708102 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 172963786 + ... + 173284394.

Almost surely, 255505141370810 is an apocalyptic number.

55505141370810 is an abundant number, since it is smaller than the sum of its proper divisors (97299074824470).

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

55505141370810 is a wasteful number, since it uses less digits than its factorization.

55505141370810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433792 (or 433789 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 45.

The spelling of 55505141370810 in words is "fifty-five trillion, five hundred five billion, one hundred forty-one million, three hundred seventy thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 113153 226306 320609 339459 565765 641218 678918 961827 1018377 1131530 1603045 1697295 1923601 1923654 2036754 2885481 3206090 3394590 3847202 4809135 5091885 5450353 5770803 5770962 9618005 9618270 10183770 10900706 11541606 14427405 16351059 17312409 19236010 27251765 28854015 28854810 32702118 34624818 49053177 54503530 57708030 81755295 86562045 98106354 163510590 173124090 245265885 490531770 36277870177 72555740354 108833610531 181389350885 217667221062 326500831593 362778701770 544168052655 616723793009 653001663186 1088336105310 1233447586018 1632504157965 1850171379027 3083618965045 3265008315930 3700342758054 5550514137081 6167237930090 9250856895135 11101028274162 18501713790270 27752570685405 55505141370810