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198328734630 = 233513541910427
BaseRepresentation
bin1011100010110101010…
…0000101001110100110
3200221220212111121102000
42320231110011032212
511222134124002010
6231035545030130
720220525300135
oct2705524051646
9627825447360
10198328734630
1177124444854
123252ba85346
1315918cc3960
14985615991c
15525b8997c0
hex2e2d5053a6

198328734630 has 128 divisors (see below), whose sum is σ = 569719180800. Its totient is φ = 48805690752.

The previous prime is 198328734623. The next prime is 198328734671. The reversal of 198328734630 is 36437823891.

198328734630 is a `hidden beast` number, since 1 + 98 + 3 + 28 + 73 + 463 + 0 = 666.

It is a super-2 number, since 2×1983287346302 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19015477 + ... + 19025903.

It is an arithmetic number, because the mean of its divisors is an integer number (4450931100).

Almost surely, 2198328734630 is an apocalyptic number.

198328734630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198328734630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284859590400).

198328734630 is an abundant number, since it is smaller than the sum of its proper divisors (371390446170).

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

198328734630 is a wasteful number, since it uses less digits than its factorization.

198328734630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15875 (or 15869 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 198328734630 in words is "one hundred ninety-eight billion, three hundred twenty-eight million, seven hundred thirty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 5419 10427 10838 16257 20854 27095 31281 32514 48771 52135 54190 62562 70447 81285 93843 97542 104270 135551 140894 146313 156405 162570 187686 211341 243855 271102 281529 292626 312810 352235 406653 422682 469215 487710 563058 634023 677755 704470 731565 813306 938430 1056705 1219959 1268046 1355510 1407645 1463130 1902069 2033265 2113410 2439918 2815290 3170115 3659877 3804138 4066530 6099795 6340230 7319754 9510345 12199590 18299385 19020690 36598770 56503913 113007826 169511739 282519565 339023478 508535217 565039130 734550869 847558695 1017070434 1469101738 1525605651 1695117390 2203652607 2542676085 3051211302 3672754345 4407305214 5085352170 6610957821 7345508690 7628028255 11018263035 13221915642 15256056510 19832873463 22036526070 33054789105 39665746926 66109578210 99164367315 198328734630