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6414465096 = 2332138382567
BaseRepresentation
bin1011111100101010…
…01111100001001000
3121120000221120220100
411332111033201020
5101114100340341
62540300125400
7314646024264
oct57625174110
917500846810
106414465096
1127a1886626
1212b0236860
137b2c033a0
1444bc9b0a4
152782073b6
hex17e54f848

6414465096 has 96 divisors (see below), whose sum is σ = 18934493760. Its totient is φ = 1949878656.

The previous prime is 6414465067. The next prime is 6414465097. The reversal of 6414465096 is 6905644146.

It is a happy number.

It is a super-2 number, since 2×64144650962 = 82290724935604578432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6414465097) 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 23 ways as a sum of consecutive naturals, for example, 36405 + ... + 118971.

It is an arithmetic number, because the mean of its divisors is an integer number (197234310).

Almost surely, 26414465096 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 6414465096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9467246880).

6414465096 is an abundant number, since it is smaller than the sum of its proper divisors (12520028664).

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

6414465096 is a wasteful number, since it uses less digits than its factorization.

6414465096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82675 (or 82668 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6414465096 is about 80090.3558239068. The cubic root of 6414465096 is about 1858.0332523635.

The spelling of 6414465096 in words is "six billion, four hundred fourteen million, four hundred sixty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 83 104 117 156 166 234 249 312 332 468 498 664 747 936 996 1079 1494 1992 2158 2988 3237 4316 5976 6474 8632 9711 12948 19422 25896 38844 77688 82567 165134 247701 330268 495402 660536 743103 990804 1073371 1486206 1981608 2146742 2972412 3220113 4293484 5944824 6440226 6853061 8586968 9660339 12880452 13706122 19320678 20559183 25760904 27412244 38641356 41118366 54824488 61677549 77282712 82236732 89089793 123355098 164473464 178179586 246710196 267269379 356359172 493420392 534538758 712718344 801808137 1069077516 1603616274 2138155032 3207232548 6414465096