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198399638000196 = 22341743837680659
BaseRepresentation
bin101101000111000110000011…
…111100100101001001000100
3222000110211010220012002020000
4231013012003330211021010
5202001034424312001241
61541543311353441300
756534620660624443
oct5507060374451104
9860424126162200
10198399638000196
11582418a5424076
121a303219410230
13869200c36aa99
1436dc845224d5a
1517e0c6ad00eb6
hexb47183f25244

198399638000196 has 120 divisors (see below), whose sum is σ = 561936291063840. Its totient is φ = 60795511435008.

The previous prime is 198399638000129. The next prime is 198399638000297. The reversal of 198399638000196 is 691000836993891.

198399638000196 is a `hidden beast` number, since 1 + 98 + 399 + 63 + 8 + 0 + 0 + 0 + 1 + 96 = 666.

It is a super-3 number, since 3×1983996380001963 (a number of 44 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 418603486 + ... + 419077173.

It is an arithmetic number, because the mean of its divisors is an integer number (4682802425532).

Almost surely, 2198399638000196 is an apocalyptic number.

It is an amenable number.

198399638000196 is an abundant number, since it is smaller than the sum of its proper divisors (363536653063644).

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

198399638000196 is a wasteful number, since it uses less digits than its factorization.

198399638000196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837680735 (or 837680724 counting only the distinct ones).

The product of its (nonzero) digits is 136048896, while the sum is 72.

The spelling of 198399638000196 in words is "one hundred ninety-eight trillion, three hundred ninety-nine billion, six hundred thirty-eight million, one hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 43 51 54 68 81 86 102 108 129 153 162 172 204 258 306 324 387 459 516 612 731 774 918 1161 1377 1462 1548 1836 2193 2322 2754 2924 3483 4386 4644 5508 6579 6966 8772 13158 13932 19737 26316 39474 59211 78948 118422 236844 837680659 1675361318 2513041977 3350722636 5026083954 7539125931 10052167908 14240571203 15078251862 22617377793 28481142406 30156503724 36020268337 42721713609 45234755586 56962284812 67852133379 72040536674 85443427218 90469511172 108060805011 128165140827 135704266758 144081073348 170886854436 216121610022 256330281654 271408533516 324182415033 384495422481 432243220044 512660563308 612344561729 648364830066 768990844962 972547245099 1153486267443 1224689123458 1296729660132 1537981689924 1837033685187 1945094490198 2306972534886 2449378246916 2917641735297 3674067370374 3890188980396 4613945069772 5511101055561 5835283470594 7348134740748 11022202111122 11670566941188 16533303166683 22044404222244 33066606333366 49599909500049 66133212666732 99199819000098 198399638000196