Search a number
-
+
5316006465 = 32571111313577
BaseRepresentation
bin1001111001101101…
…11101001001000001
3111201111000002221100
410330312331021001
541341344201330
62235300245013
7245510211060
oct47466751101
914644002840
105316006465
112288824380
1210443a0769
13669472173
143860401d7
15211a78060
hex13cdbd241

5316006465 has 96 divisors (see below), whose sum is σ = 11590615296. Its totient is φ = 2189537280.

The previous prime is 5316006461. The next prime is 5316006469. The reversal of 5316006465 is 5646006135.

5316006465 is a `hidden beast` number, since 5 + 3 + 1 + 6 + 0 + 0 + 646 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (5316006461) and next prime (5316006469).

It is not a de Polignac number, because 5316006465 - 22 = 5316006461 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5316006461) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 384757 + ... + 398333.

It is an arithmetic number, because the mean of its divisors is an integer number (120735576).

Almost surely, 25316006465 is an apocalyptic number.

5316006465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5316006465 is an abundant number, since it is smaller than the sum of its proper divisors (6274608831).

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

5316006465 is a wasteful number, since it uses less digits than its factorization.

5316006465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13719 (or 13716 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5316006465 is about 72910.9488691513. The cubic root of 5316006465 is about 1745.2668250969.

The spelling of 5316006465 in words is "five billion, three hundred sixteen million, six thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 113 165 231 315 339 385 495 565 693 791 1017 1155 1243 1695 2373 3465 3729 3955 5085 6215 7119 8701 11187 11865 13577 18645 26103 35595 40731 43505 55935 67885 78309 95039 122193 130515 149347 203655 285117 391545 448041 475195 610965 746735 855351 1045429 1344123 1425585 1534201 2240205 3136287 4276755 4602603 5227145 6720615 7671005 9408861 10739407 13807809 15681435 16876211 23013015 32218221 47044305 50628633 53697035 69039045 84381055 96654663 118133477 151885899 161091105 253143165 354400431 483273315 590667385 759429495 1063201293 1772002155 5316006465