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10505455152125 = 531726918378229
BaseRepresentation
bin1001100011011111110111…
…1011000010101111111101
31101012022102020021101222012
42120313331323002233331
52334110133004332000
634202050043101005
72132664654266363
oct230677573025775
941168366241865
1010505455152125
11339037a613aaa
12121803b811765
135b287751695b
14284676a53633
1513340e937735
hex98dfdec2bfd

10505455152125 has 32 divisors (see below), whose sum is σ = 13933638856800. Its totient is φ = 7880584166400.

The previous prime is 10505455152121. The next prime is 10505455152149. The reversal of 10505455152125 is 52125155450501.

It can be written as a sum of positive squares in 16 ways, for example, as 10351933023364 + 153522128761 = 3217442^2 + 391819^2 .

It is not a de Polignac number, because 10505455152125 - 22 = 10505455152121 is a prime.

It is a super-2 number, since 2×105054551521252 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505455152121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8617490 + ... + 9760739.

It is an arithmetic number, because the mean of its divisors is an integer number (435426214275).

Almost surely, 210505455152125 is an apocalyptic number.

It is an amenable number.

10505455152125 is a deficient number, since it is larger than the sum of its proper divisors (3428183704675).

10505455152125 is a wasteful number, since it uses less digits than its factorization.

10505455152125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18378530 (or 18378520 counting only the distinct ones).

The product of its (nonzero) digits is 250000, while the sum is 41.

The spelling of 10505455152125 in words is "ten trillion, five hundred five billion, four hundred fifty-five million, one hundred fifty-two thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 269 425 1345 2125 4573 6725 22865 33625 114325 571625 18378229 91891145 312429893 459455725 1562149465 2297278625 4943743601 7810747325 24718718005 39053736625 84043641217 123593590025 420218206085 617967950125 2101091030425 10505455152125