Search a number
-
+
438716429016 = 23353225512
BaseRepresentation
bin1100110001001011000…
…10010111001011011000
31112221101220100202010020
412120211202113023120
524141442401212031
6533313223350440
743460542055235
oct6304542271330
91487356322106
10438716429016
1115a070a94578
12710392b2420
13324a87b8838
141733c0c878c
15b62a888096
hex66258972d8

438716429016 has 72 divisors (see below), whose sum is σ = 1118314082340. Its totient is φ = 143423342400.

The previous prime is 438716428999. The next prime is 438716429051. The reversal of 438716429016 is 610924617834.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 438716429016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 171976941 + ... + 171979491.

Almost surely, 2438716429016 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 438716429016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559157041170).

438716429016 is an abundant number, since it is smaller than the sum of its proper divisors (679597653324).

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

438716429016 is an frugal number, since it uses more digits than its factorization.

438716429016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 438716429016 in words is "four hundred thirty-eight billion, seven hundred sixteen million, four hundred twenty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 2551 2809 5102 5618 7653 8427 10204 11236 15306 16854 20408 22472 30612 33708 61224 67416 135203 270406 405609 540812 811218 1081624 1622436 3244872 6507601 7165759 13015202 14331518 19522803 21497277 26030404 28663036 39045606 42994554 52060808 57326072 78091212 85989108 156182424 171978216 344902853 689805706 1034708559 1379611412 2069417118 2759222824 4138834236 8277668472 18279851209 36559702418 54839553627 73119404836 109679107254 146238809672 219358214508 438716429016