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8010144666 = 23267299133
BaseRepresentation
bin1110111010111000…
…10001101110011010
3202200020111111202200
413131130101232122
5112401044112131
63402501111030
7402333051306
oct73534215632
922606444680
108010144666
113440577277
1216766b8476
139a8685794
1455db88d06
1531d3512e6
hex1dd711b9a

8010144666 has 36 divisors (see below), whose sum is σ = 17618391882. Its totient is φ = 2630170224.

The previous prime is 8010144647. The next prime is 8010144673. The reversal of 8010144666 is 6664410108.

It can be written as a sum of positive squares in only one way, i.e., 7160713641 + 849431025 = 84621^2 + 29145^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8010144666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31236 + ... + 130368.

Almost surely, 28010144666 is an apocalyptic number.

8010144666 is an abundant number, since it is smaller than the sum of its proper divisors (9608247216).

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

8010144666 is a wasteful number, since it uses less digits than its factorization.

8010144666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99275 (or 99205 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8010144666 is about 89499.4115399649. The cubic root of 8010144666 is about 2000.8450317437.

The spelling of 8010144666 in words is "eight billion, ten million, one hundred forty-four thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 67 134 201 402 603 1206 4489 8978 13467 26934 40401 80802 99133 198266 297399 594798 892197 1784394 6641911 13283822 19925733 39851466 59777199 119554398 445008037 890016074 1335024111 2670048222 4005072333 8010144666