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426730094426832 = 24372357799555061
BaseRepresentation
bin110000100000110111101011…
…1101100010111101011010000
32001221220222221222201212001220
41201001233113230113223100
5421413021213133124312
64111325033221325040
7155612142355501620
oct14101572754275320
92057828858655056
10426730094426832
11113a73242523009
123ba3b199266780
1315415624135461
147753bbd784880
153450368081c8c
hex1841bd7b17ad0

426730094426832 has 160 divisors (see below), whose sum is σ = 1314874375034880. Its totient is φ = 116601696668160.

The previous prime is 426730094426777. The next prime is 426730094426837. The reversal of 426730094426832 is 238624490037624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426730094426837) 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, 39882582 + ... + 49437642.

It is an arithmetic number, because the mean of its divisors is an integer number (8217964843968).

Almost surely, 2426730094426832 is an apocalyptic number.

426730094426832 is a gapful number since it is divisible by the number (42) 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 426730094426832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657437187517440).

426730094426832 is an abundant number, since it is smaller than the sum of its proper divisors (888144280608048).

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

426730094426832 is a wasteful number, since it uses less digits than its factorization.

426730094426832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9560881 (or 9560875 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 60.

The spelling of 426730094426832 in words is "four hundred twenty-six trillion, seven hundred thirty billion, ninety-four million, four hundred twenty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 5779 7728 11558 17337 23116 34674 40453 46232 69348 80906 92464 121359 132917 138696 161812 242718 265834 277392 323624 398751 485436 531668 647248 797502 930419 970872 1063336 1595004 1860838 1941744 2126672 2791257 3190008 3721676 5582514 6380016 7443352 9555061 11165028 14886704 19110122 22330056 28665183 38220244 44660112 57330366 66885427 76440488 114660732 133770854 152880976 200656281 219766403 229321464 267541708 401312562 439532806 458642928 535083416 659299209 802625124 879065612 1070166832 1318598418 1538364821 1605250248 1758131224 2637196836 3076729642 3210500496 3516262448 4615094463 5274393672 6153459284 9230188926 10548787344 12306918568 18460377852 24613837136 36920755704 55218697519 73841511408 110437395038 165656092557 220874790076 331312185114 386530882633 441749580152 662624370228 773061765266 883499160304 1159592647899 1270030042937 1325248740456 1546123530532 2319185295798 2540060085874 2650497480912 3092247061064 3810090128811 4638370591596 5080120171748 6184494122128 7620180257622 8890210300559 9276741183192 10160240343496 15240360515244 17780420601118 18553482366384 20320480686992 26670630901677 30480721030488 35560841202236 53341261803354 60961442060976 71121682404472 106682523606708 142243364808944 213365047213416 426730094426832