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10066055505 = 3511193210863
BaseRepresentation
bin10010101111111101…
…11101000101010001
3221222112001121020120
421113332331011101
5131103402234010
64342502300453
7504306026412
oct112776750521
927875047216
1010066055505
1142a6031540
121b4b127729
13c455a777c
146b6c39809
153ddaa9e70
hex257fbd151

10066055505 has 32 divisors (see below), whose sum is σ = 18494576640. Its totient is φ = 4623641280.

The previous prime is 10066055443. The next prime is 10066055507. The reversal of 10066055505 is 50555066001.

It is a de Polignac number, because none of the positive numbers 2k-10066055505 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10066055507) 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, 1602297 + ... + 1608566.

It is an arithmetic number, because the mean of its divisors is an integer number (577955520).

Almost surely, 210066055505 is an apocalyptic number.

10066055505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10066055505 is a deficient number, since it is larger than the sum of its proper divisors (8428521135).

10066055505 is a wasteful number, since it uses less digits than its factorization.

10066055505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210901.

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 10066055505 in words is "ten billion, sixty-six million, fifty-five thousand, five hundred five".

Divisors: 1 3 5 11 15 19 33 55 57 95 165 209 285 627 1045 3135 3210863 9632589 16054315 35319493 48162945 61006397 105958479 176597465 183019191 305031985 529792395 671070367 915095955 2013211101 3355351835 10066055505