Search a number
-
+
7665801216 = 211311172
BaseRepresentation
bin1110010001110101…
…01101100000000000
3201210020120001100120
413020322231200000
5111144421114331
63304400420240
7360652143453
oct71072554000
921706501316
107665801216
113284165a07
12159b317680
13952230168
1452a15149a
152eced3796
hex1c8ead800

7665801216 has 72 divisors (see below), whose sum is σ = 20455458660. Its totient is φ = 2552979456.

The previous prime is 7665801203. The next prime is 7665801251. The reversal of 7665801216 is 6121085667.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6862290 + ... + 6863406.

Almost surely, 27665801216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7665801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10227729330).

7665801216 is an abundant number, since it is smaller than the sum of its proper divisors (12789657444).

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

7665801216 is an frugal number, since it uses more digits than its factorization.

7665801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 7665801216 is about 87554.5613660419. The cubic root of 7665801216 is about 1971.7530339548.

The spelling of 7665801216 in words is "seven billion, six hundred sixty-five million, eight hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1117 1536 2048 2234 3072 3351 4468 6144 6702 8936 13404 17872 26808 35744 53616 71488 107232 142976 214464 285952 428928 571904 857856 1143808 1247689 1715712 2287616 2495378 3431424 3743067 4990756 6862848 7486134 9981512 14972268 19963024 29944536 39926048 59889072 79852096 119778144 159704192 239556288 319408384 479112576 638816768 958225152 1277633536 1916450304 2555267072 3832900608 7665801216