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196503441948 = 2232112311455193
BaseRepresentation
bin1011011100000010000…
…1001001001000011100
3200210012122220010120100
42313000201021020130
511204414340120243
6230134502421100
720124352461132
oct2670041111034
9623178803510
10196503441948
1176378085400
1232100731790
13156b7ab9408
14972197b752
1551a14e70d3
hex2dc084921c

196503441948 has 108 divisors (see below), whose sum is σ = 563590815424. Its totient is φ = 57625603200.

The previous prime is 196503441929. The next prime is 196503441973. The reversal of 196503441948 is 849144305691.

196503441948 is a `hidden beast` number, since 1 + 9 + 6 + 503 + 4 + 41 + 94 + 8 = 666.

It is a super-2 number, since 2×1965034419482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 196503441894 and 196503441903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 592561 + ... + 862632.

Almost surely, 2196503441948 is an apocalyptic number.

196503441948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

196503441948 is an abundant number, since it is smaller than the sum of its proper divisors (367087373476).

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

196503441948 is a wasteful number, since it uses less digits than its factorization.

196503441948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455256 (or 1455240 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 196503441948 in words is "one hundred ninety-six billion, five hundred three million, four hundred forty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 121 124 132 186 198 242 279 341 363 372 396 484 558 682 726 1023 1089 1116 1364 1452 2046 2178 3069 3751 4092 4356 6138 7502 11253 12276 15004 22506 33759 45012 67518 135036 1455193 2910386 4365579 5820772 8731158 13096737 16007123 17462316 26193474 32014246 45110983 48021369 52386948 64028492 90221966 96042738 135332949 144064107 176078353 180443932 192085476 270665898 288128214 352156706 405998847 496220813 528235059 541331796 576256428 704313412 811997694 992441626 1056470118 1488662439 1584705177 1623995388 1984883252 2112940236 2977324878 3169410354 4465987317 5458428943 5954649756 6338820708 8931974634 10916857886 16375286829 17863949268 21833715772 32750573658 49125860487 65501147316 98251720974 196503441948