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198421640172 = 22337237494641
BaseRepresentation
bin1011100011001011011…
…0011111001111101100
3200222011100022200212000
42320302312133033230
511222331414441142
6231053104212300
720223034053600
oct2706266371754
9628140280760
10198421640172
1177171930098
123255700a090
1315932322252
149864621500
155264aec14c
hex2e32d9f3ec

198421640172 has 72 divisors (see below), whose sum is σ = 598414486320. Its totient is φ = 56691895680.

The previous prime is 198421640129. The next prime is 198421640191. The reversal of 198421640172 is 271046124891.

198421640172 is a `hidden beast` number, since 19 + 8 + 421 + 6 + 40 + 172 = 666.

It is a super-2 number, since 2×1984216401722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18742029 + ... + 18752612.

It is an arithmetic number, because the mean of its divisors is an integer number (8311312310).

Almost surely, 2198421640172 is an apocalyptic number.

198421640172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198421640172 is an abundant number, since it is smaller than the sum of its proper divisors (399992846148).

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

198421640172 is a wasteful number, since it uses less digits than its factorization.

198421640172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37494668 (or 37494653 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 198421640172 in words is "one hundred ninety-eight billion, four hundred twenty-one million, six hundred forty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 37494641 74989282 112483923 149978564 224967846 262462487 337451769 449935692 524924974 674903538 787387461 1012355307 1049849948 1349807076 1574774922 1837237409 2024710614 2362162383 3149549844 3674474818 4049421228 4724324766 5511712227 7086487149 7348949636 9448649532 11023424454 14172974298 16535136681 22046848908 28345948596 33070273362 49605410043 66140546724 99210820086 198421640172