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906660036965 = 5233377724821
BaseRepresentation
bin11010011000110010010…
…01100100000101100101
310012200020200211000102002
431030121021210011211
5104323314432140330
61532302555055045
7122334611104634
oct15143111440545
93180220730362
10906660036965
1131a56aa55181
12127872741485
1367661511497
1431c4db2951b
15188b7090e45
hexd319264165

906660036965 has 8 divisors (see below), whose sum is σ = 1088458407288. Its totient is φ = 725017120960.

The previous prime is 906660036941. The next prime is 906660036983. The reversal of 906660036965 is 569630066609.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63359434369 + 843300602596 = 251713^2 + 918314^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 906660036965 - 216 = 906659971429 is a prime.

It is a super-3 number, since 3×9066600369653 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 906660036965.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38850746 + ... + 38874075.

It is an arithmetic number, because the mean of its divisors is an integer number (136057300911).

Almost surely, 2906660036965 is an apocalyptic number.

It is an amenable number.

906660036965 is a deficient number, since it is larger than the sum of its proper divisors (181798370323).

906660036965 is a wasteful number, since it uses less digits than its factorization.

906660036965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77727159.

The product of its (nonzero) digits is 9447840, while the sum is 56.

The spelling of 906660036965 in words is "nine hundred six billion, six hundred sixty million, thirty-six thousand, nine hundred sixty-five".

Divisors: 1 5 2333 11665 77724821 388624105 181332007393 906660036965