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1982162198196 = 2233191773124309
BaseRepresentation
bin11100110110000010000…
…100101101111010110100
321000111022021212122001000
4130312002010231322310
5224433432010320241
64114332011003300
7263130553456005
oct34660204557264
97014267778030
101982162198196
116a46a2982324
122801a6139530
13114bbcb13c6b
146bd198051ac
1536861eb2eb6
hex1cd8212deb4

1982162198196 has 96 divisors (see below), whose sum is σ = 5172568934400. Its totient is φ = 656405907840.

The previous prime is 1982162198179. The next prime is 1982162198213. The reversal of 1982162198196 is 6918912612891.

1982162198196 is a `hidden beast` number, since 19 + 8 + 216 + 219 + 8 + 196 = 666.

It is an interprime number because it is at equal distance from previous prime (1982162198179) and next prime (1982162198213).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15883290 + ... + 16007598.

It is an arithmetic number, because the mean of its divisors is an integer number (53880926400).

Almost surely, 21982162198196 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 1982162198196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586284467200).

1982162198196 is an abundant number, since it is smaller than the sum of its proper divisors (3190406736204).

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

1982162198196 is a wasteful number, since it uses less digits than its factorization.

1982162198196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125286 (or 125278 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 63.

The spelling of 1982162198196 in words is "one trillion, nine hundred eighty-two billion, one hundred sixty-two million, one hundred ninety-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 191 382 573 764 773 1146 1546 1719 2292 2319 3092 3438 4638 5157 6876 6957 9276 10314 13914 20628 20871 27828 41742 83484 124309 147643 248618 295286 372927 442929 497236 590572 745854 885858 1118781 1328787 1491708 1771716 2237562 2657574 3356343 3986361 4475124 5315148 6712686 7972722 13425372 15945444 23743019 47486038 71229057 94972076 96090857 142458114 192181714 213687171 284916228 288272571 384363428 427374342 576545142 641061513 854748684 864817713 1153090284 1282123026 1729635426 2564246052 2594453139 3459270852 5188906278 10377812556 18353353687 36706707374 55060061061 73413414748 110120122122 165180183183 220240244244 330360366366 495540549549 660720732732 991081099098 1982162198196