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196328664 = 23337413167
BaseRepresentation
bin10111011001110…
…11110011011000
3111200102112022000
423230323303120
5400230004124
631252001000
74602523530
oct1354736330
9450375260
10196328664
11a09056a4
1255900160
13318a020c
141c1084c0
15123816c9
hexbb3bcd8

196328664 has 128 divisors (see below), whose sum is σ = 638668800. Its totient is φ = 54708480.

The previous prime is 196328663. The next prime is 196328677. The reversal of 196328664 is 466823691.

196328664 is a `hidden beast` number, since 1 + 9 + 632 + 8 + 6 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196328663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60409 + ... + 63575.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2196328664 is an apocalyptic number.

196328664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196328664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319334400).

196328664 is an abundant number, since it is smaller than the sum of its proper divisors (442340136).

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

196328664 is a wasteful number, since it uses less digits than its factorization.

196328664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3220 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 196328664 is about 14011.7330833841. The cubic root of 196328664 is about 581.2030755043.

The spelling of 196328664 in words is "one hundred ninety-six million, three hundred twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 246 252 287 328 369 378 492 504 574 738 756 861 984 1107 1148 1476 1512 1722 2214 2296 2583 2952 3167 3444 4428 5166 6334 6888 7749 8856 9501 10332 12668 15498 19002 20664 22169 25336 28503 30996 38004 44338 57006 61992 66507 76008 85509 88676 114012 129847 133014 171018 177352 199521 228024 259694 266028 342036 389541 399042 519388 532056 598563 684072 779082 798084 908929 1038776 1168623 1197126 1558164 1596168 1817858 2337246 2394252 2726787 3116328 3505869 3635716 4674492 4788504 5453574 7011738 7271432 8180361 9348984 10907148 14023476 16360722 21814296 24541083 28046952 32721444 49082166 65442888 98164332 196328664