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398196497507472 = 243238361043118277
BaseRepresentation
bin101101010001010000101100…
…0110010001110010010010000
31221012220012202120010220011200
41122202201120302032102100
5404143022411330214342
63530520540125311200
7146605514262450636
oct13242413062162220
91835805676126150
10398196497507472
11105972205977594
12387b1195405500
13141259cb7a5881
147048b55a2d356
153108010d7494c
hex16a2858c8e490

398196497507472 has 120 divisors (see below), whose sum is σ = 1117334545726464. Its totient is φ = 132382318662912.

The previous prime is 398196497507461. The next prime is 398196497507507. The reversal of 398196497507472 is 274705794691893.

398196497507472 is a `hidden beast` number, since 3 + 9 + 8 + 1 + 9 + 6 + 4 + 97 + 50 + 7 + 472 = 666.

It is a super-4 number, since 4×3981964975074724 (a number of 60 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 398196497507391 and 398196497507400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3366584398 + ... + 3366702674.

It is a 1-persistent number, because it is pandigital, but 2⋅398196497507472 = 796392995014944 is not.

Almost surely, 2398196497507472 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 398196497507472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558667272863232).

398196497507472 is an abundant number, since it is smaller than the sum of its proper divisors (719138048218992).

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

398196497507472 is a wasteful number, since it uses less digits than its factorization.

398196497507472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179717 (or 179708 counting only the distinct ones).

The product of its (nonzero) digits is 5761082880, while the sum is 81.

The spelling of 398196497507472 in words is "three hundred ninety-eight trillion, one hundred ninety-six billion, four hundred ninety-seven million, five hundred seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 383 766 1149 1532 2298 3064 3447 4596 6128 6894 9192 13788 18384 27576 55152 61043 118277 122086 183129 236554 244172 354831 366258 473108 488344 549387 709662 732516 946216 976688 1064493 1098774 1419324 1465032 1892432 2128986 2197548 2838648 2930064 4257972 4395096 5677296 8515944 8790192 17031888 23379469 45300091 46758938 70138407 90600182 93517876 135900273 140276814 181200364 187035752 210415221 271800546 280553628 362400728 374071504 407700819 420830442 543601092 561107256 724801456 815401638 841660884 1087202184 1122214512 1630803276 1683321768 2174404368 3261606552 3366643536 6523213104 7219982911 14439965822 21659948733 28879931644 43319897466 57759863288 64979846199 86639794932 115519726576 129959692398 173279589864 259919384796 346559179728 519838769592 1039677539184 2765253454913 5530506909826 8295760364739 11061013819652 16591520729478 22122027639304 24887281094217 33183041458956 44244055278608 49774562188434 66366082917912 99549124376868 132732165835824 199098248753736 398196497507472