Search a number
-
+
438684763204848 = 24371653384751241
BaseRepresentation
bin110001110111110110100000…
…1011110101010110011110000
32010112020212001102010021122210
41203233231001132222303300
5424444402343340023343
64153000555330132120
7161254633245501246
oct14357550136526360
92115225042107583
10438684763204848
11117862188382896
1241250067721040
1315aa1a46103b64
147a48654b14796
1535ab2e6439333
hex18efb417aacf0

438684763204848 has 160 divisors (see below), whose sum is σ = 1151312090452992. Its totient is φ = 143907695769600.

The previous prime is 438684763204847. The next prime is 438684763204903. The reversal of 438684763204848 is 848402367486834.

It is a self number, because there is not a number n which added to its sum of digits gives 438684763204848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438684763204847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8561180508 + ... + 8561231748.

Almost surely, 2438684763204848 is an apocalyptic number.

438684763204848 is a gapful number since it is divisible by the number (48) 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 438684763204848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575656045226496).

438684763204848 is an abundant number, since it is smaller than the sum of its proper divisors (712627327248144).

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

438684763204848 is a wasteful number, since it uses less digits than its factorization.

438684763204848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55823 (or 55817 counting only the distinct ones).

The product of its (nonzero) digits is 4756340736, while the sum is 75.

The spelling of 438684763204848 in words is "four hundred thirty-eight trillion, six hundred eighty-four billion, seven hundred sixty-three million, two hundred four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 653 852 1136 1306 1704 1959 2612 3408 3847 3918 5224 7694 7836 10448 11541 15388 15672 23082 30776 31344 46164 46363 51241 61552 92328 92726 102482 139089 153723 184656 185452 204964 273137 278178 307446 370904 409928 546274 556356 614892 741808 819411 819856 1092548 1112712 1229784 1638822 2185096 2225424 2459568 2512091 3277644 3638111 4370192 5024182 6555288 7276222 7536273 10048364 10914333 13110576 14552444 15072546 20096728 21828666 29104888 30145092 33460373 40193456 43657332 58209776 60290184 66920746 87314664 100381119 120580368 133841492 174629328 178358461 197124127 200762238 267682984 356716922 394248254 401524476 535075383 535365968 591372381 713433844 788496508 803048952 1070150766 1182744762 1426867688 1576993016 1606097904 2140301532 2365489524 2375686483 2853735376 3153986032 4280603064 4730979048 4751372966 7127059449 8561206128 9461958096 9502745932 13995813017 14254118898 19005491864 27991626034 28508237796 38010983728 41987439051 55983252068 57016475592 83974878102 111966504136 114032951184 128722054931 167949756204 223933008272 257444109862 335899512408 386166164793 514888219724 671799024816 772332329586 1029776439448 1544664659172 2059552878896 3089329318344 6178658636688 9139265900101 18278531800202 27417797700303 36557063600404 54835595400606 73114127200808 109671190801212 146228254401616 219342381602424 438684763204848