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669534435966 = 231122473372917
BaseRepresentation
bin10011011111000110101…
…11001011101001111110
32101000012000011101120110
421233203113023221332
541432201303422331
61231325130330450
766241454543064
oct11574327135176
92330160141513
10669534435966
11238a47809500
12a9915889a26
134b1a17b8b86
142459710a034
1512639668946
hex9be35cba7e

669534435966 has 48 divisors (see below), whose sum is σ = 1472468214672. Its totient is φ = 202806637440.

The previous prime is 669534435943. The next prime is 669534435967.

669534435966 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 669534435897 and 669534435906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669534435967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1608940 + ... + 1981856.

It is an arithmetic number, because the mean of its divisors is an integer number (30676421139).

Almost surely, 2669534435966 is an apocalyptic number.

669534435966 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

669534435966 is an abundant number, since it is smaller than the sum of its proper divisors (802933778706).

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

669534435966 is a wasteful number, since it uses less digits than its factorization.

669534435966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375417 (or 375406 counting only the distinct ones).

The product of its digits is 377913600, while the sum is 66.

The spelling of 669534435966 in words is "six hundred sixty-nine billion, five hundred thirty-four million, four hundred thirty-five thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 2473 4946 7419 14838 27203 54406 81609 163218 299233 372917 598466 745834 897699 1118751 1795398 2237502 4102087 8204174 12306261 24612522 45122957 90245914 135368871 270737742 922223741 1844447482 2766671223 5533342446 10144461151 20288922302 30433383453 60866766906 111589072661 223178145322 334767217983 669534435966