Search a number
-
+
65004824016 = 243211127323137
BaseRepresentation
bin111100100010100101…
…101110010111010000
320012210022001012121200
4330202211232113100
52031112213332031
645510210551200
74460610613236
oct744245562720
9205708035550
1065004824016
112562858a460
1210721b98500
13618c5b7712
14320944c956
151a56d0d8e6
hexf2296e5d0

65004824016 has 120 divisors (see below), whose sum is σ = 200025007104. Its totient is φ = 19543265280.

The previous prime is 65004824011. The next prime is 65004824023. The reversal of 65004824016 is 61042840056.

65004824016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×650048240162 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65004824011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39600 + ... + 362736.

Almost surely, 265004824016 is an apocalyptic number.

65004824016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65004824016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100012503552).

65004824016 is an abundant number, since it is smaller than the sum of its proper divisors (135020183088).

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

65004824016 is a wasteful number, since it uses less digits than its factorization.

65004824016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323289 (or 323280 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 65004824016 in words is "sixty-five billion, four million, eight hundred twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 127 132 144 176 198 254 264 381 396 508 528 762 792 1016 1143 1397 1524 1584 2032 2286 2794 3048 4191 4572 5588 6096 8382 9144 11176 12573 16764 18288 22352 25146 33528 50292 67056 100584 201168 323137 646274 969411 1292548 1938822 2585096 2908233 3554507 3877644 5170192 5816466 7109014 7755288 10663521 11632932 14218028 15510576 21327042 23265864 28436056 31990563 41038399 42654084 46531728 56872112 63981126 82076798 85308168 123115197 127962252 164153596 170616336 246230394 255924504 328307192 369345591 451422389 492460788 511849008 656614384 738691182 902844778 984921576 1354267167 1477382364 1805689556 1969843152 2708534334 2954764728 3611379112 4062801501 5417068668 5909529456 7222758224 8125603002 10834137336 16251206004 21668274672 32502412008 65004824016