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661170071166 = 231144922311199
BaseRepresentation
bin10011001111100001100…
…11101010011001111110
32100012121002010122010120
421213300303222121332
541313034014234131
61223423133115410
765524260606633
oct11476063523176
92305532118116
10661170071166
112354452a5420
12a8180628b66
134a46a9303a7
14240022b618a
15122ea198496
hex99f0cea67e

661170071166 has 32 divisors (see below), whose sum is σ = 1445765760000. Its totient is φ = 199908334080.

The previous prime is 661170071147. The next prime is 661170071167.

661170071166 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 (661170071167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11125966 + ... + 11185233.

It is an arithmetic number, because the mean of its divisors is an integer number (45180180000).

Almost surely, 2661170071166 is an apocalyptic number.

661170071166 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

661170071166 is an abundant number, since it is smaller than the sum of its proper divisors (784595688834).

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

661170071166 is a wasteful number, since it uses less digits than its factorization.

661170071166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22311664.

The product of its (nonzero) digits is 63504, while the sum is 42.

It can be divided in two parts, 6611700 and 71166, that added together give a palindrome (6682866).

The spelling of 661170071166 in words is "six hundred sixty-one billion, one hundred seventy million, seventy-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 449 898 1347 2694 4939 9878 14817 29634 22311199 44622398 66933597 133867194 245423189 490846378 736269567 1472539134 10017728351 20035456702 30053185053 60106370106 110195011861 220390023722 330585035583 661170071166