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90818534448 = 24337115119609
BaseRepresentation
bin101010010010100110…
…1001101110000110000
322200102022002120022000
41110211031031300300
52441444021100243
6105415500214000
76363365543235
oct1244515156060
9280368076260
1090818534448
1135574771144
1215726b3a300
1387445944a5
1445778cd78c
1525681655d3
hex152534dc30

90818534448 has 160 divisors (see below), whose sum is σ = 266118681600. Its totient is φ = 29647296000.

The previous prime is 90818534441. The next prime is 90818534453. The reversal of 90818534448 is 84443581809.

It is a happy number.

90818534448 is a `hidden beast` number, since 90 + 8 + 1 + 85 + 34 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 90818534394 and 90818534403.

It is not an unprimeable number, because it can be changed into a prime (90818534441) 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, 4621668 + ... + 4641276.

It is an arithmetic number, because the mean of its divisors is an integer number (1663241760).

Almost surely, 290818534448 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 90818534448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133059340800).

90818534448 is an abundant number, since it is smaller than the sum of its proper divisors (175300147152).

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

90818534448 is a wasteful number, since it uses less digits than its factorization.

90818534448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19848 (or 19836 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 90818534448 in words is "ninety billion, eight hundred eighteen million, five hundred thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 151 213 216 284 302 426 432 453 568 604 639 852 906 1136 1208 1278 1359 1704 1812 1917 2416 2556 2718 3408 3624 3834 4077 5112 5436 7248 7668 8154 10224 10721 10872 15336 16308 19609 21442 21744 30672 32163 32616 39218 42884 58827 64326 65232 78436 85768 96489 117654 128652 156872 171536 176481 192978 235308 257304 289467 313744 352962 385956 470616 514608 529443 578934 705924 771912 941232 1058886 1157868 1392239 1411848 1543824 2117772 2315736 2784478 2823696 2960959 4176717 4235544 4631472 5568956 5921918 8353434 8471088 8882877 11137912 11843836 12530151 16706868 17765754 22275824 23687672 25060302 26648631 33413736 35531508 37590453 47375344 50120604 53297262 66827472 71063016 75180906 79945893 100241208 106594524 142126032 150361812 159891786 200482416 210228089 213189048 300723624 319783572 420456178 426378096 601447248 630684267 639567144 840912356 1261368534 1279134288 1681824712 1892052801 2522737068 3363649424 3784105602 5045474136 5676158403 7568211204 10090948272 11352316806 15136422408 22704633612 30272844816 45409267224 90818534448