Search a number
-
+
503222022216 = 2332113451713693
BaseRepresentation
bin1110101001010100101…
…11101011000001001000
31210002220102000101210200
413110222113223001020
531221044314202331
61023102122212200
751233211420204
oct7245227530110
91702812011720
10503222022216
11184462792481
1281640054060
13385b882a2b4
141a4db101b04
15d1539315e6
hex752a5eb048

503222022216 has 96 divisors (see below), whose sum is σ = 1375358807160. Its totient is φ = 166207297536.

The previous prime is 503222022209. The next prime is 503222022221. The reversal of 503222022216 is 612220222305.

It can be written as a sum of positive squares in 4 ways, for example, as 292215924900 + 211006097316 = 540570^2 + 459354^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 503222022216.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36743466 + ... + 36757158.

Almost surely, 2503222022216 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 503222022216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687679403580).

503222022216 is an abundant number, since it is smaller than the sum of its proper divisors (872136784944).

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

503222022216 is a wasteful number, since it uses less digits than its factorization.

503222022216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18335 (or 18328 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 503222022216 in words is "five hundred three billion, two hundred twenty-two million, twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 4517 8136 9034 13551 13693 18068 27102 27386 36136 40653 41079 54204 54772 81306 82158 108408 109544 123237 162612 164316 246474 325224 328632 492948 510421 985896 1020842 1531263 1547309 2041684 3062526 3094618 4083368 4593789 4641927 6125052 6189236 9187578 9283854 12250104 12378472 13925781 18375156 18567708 27851562 36750312 37135416 55703124 61851281 111406248 123702562 185553843 247405124 371107686 494810248 556661529 742215372 1113323058 1484430744 2226646116 4453292232 6989194753 13978389506 20967584259 27956779012 41935168518 55913558024 62902752777 83870337036 125805505554 167740674072 251611011108 503222022216