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9198421344 = 253371520903
BaseRepresentation
bin10001001000100010…
…01100010101100000
3212202001110012221000
420210101030111200
5122314243440334
64120430032000
7443642201640
oct104421142540
925661405830
109198421344
1139a02a6112
121948648600
13b37903b88
14633906520
1538c823299
hex22444c560

9198421344 has 96 divisors (see below), whose sum is σ = 30661424640. Its totient is φ = 2628118656.

The previous prime is 9198421333. The next prime is 9198421363. The reversal of 9198421344 is 4431248919.

9198421344 is a `hidden beast` number, since 9 + 198 + 421 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×91984213442 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9198421344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754404 + ... + 766499.

It is an arithmetic number, because the mean of its divisors is an integer number (319389840).

Almost surely, 29198421344 is an apocalyptic number.

It is an amenable number.

9198421344 is an abundant number, since it is smaller than the sum of its proper divisors (21463003296).

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

9198421344 is a wasteful number, since it uses less digits than its factorization.

9198421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520929 (or 1520915 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 9198421344 is about 95908.4007999299. The cubic root of 9198421344 is about 2095.2592486614.

The spelling of 9198421344 in words is "nine billion, one hundred ninety-eight million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 1520903 3041806 4562709 6083612 9125418 10646321 12167224 13688127 18250836 21292642 24334448 27376254 31938963 36501672 41064381 42585284 48668896 54752508 63877926 73003344 82128762 85170568 95816889 109505016 127755852 146006688 164257524 170341136 191633778 219010032 255511704 287450667 328515048 340682272 383267556 438020064 511023408 574901334 657030096 766535112 1022046816 1149802668 1314060192 1533070224 2299605336 3066140448 4599210672 9198421344