Search a number
-
+
900312816719 = 12740117678497
BaseRepresentation
bin11010001100111101101…
…00110101110001001111
310012001212100101211002202
431012132310311301033
5104222320040113334
61525333100112115
7122021406450431
oct15063664656117
93161770354082
10900312816719
11317903128708
121265a0b3563b
1366b8c523864
143180ab74651
1518644c1d17e
hexd19ed35c4f

900312816719 has 8 divisors (see below), whose sum is σ = 909664793088. Its totient is φ = 890996198400.

The previous prime is 900312816647. The next prime is 900312816721. The reversal of 900312816719 is 917618213009.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-900312816719 is a prime.

It is a super-2 number, since 2×9003128167192 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900312116719) 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 7 ways as a sum of consecutive naturals, for example, 8788322 + ... + 8890175.

It is an arithmetic number, because the mean of its divisors is an integer number (113708099136).

Almost surely, 2900312816719 is an apocalyptic number.

900312816719 is a deficient number, since it is larger than the sum of its proper divisors (9351976369).

900312816719 is a wasteful number, since it uses less digits than its factorization.

900312816719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17679025.

The product of its (nonzero) digits is 163296, while the sum is 47.

The spelling of 900312816719 in words is "nine hundred billion, three hundred twelve million, eight hundred sixteen thousand, seven hundred nineteen".

Divisors: 1 127 401 50927 17678497 2245169119 7089077297 900312816719