Search a number
-
+
195829934328 = 23327255507351
BaseRepresentation
bin1011011001100001011…
…1111010100011111000
3200201110201120101210200
42312120113322203320
511202024430344303
6225544003042200
720101563656100
oct2663027724370
9621421511720
10195829934328
1176061990136
1231b53070360
131560b3c45b2
14969a33c200
1551623093a3
hex2d985fa8f8

195829934328 has 72 divisors (see below), whose sum is σ = 616964217480. Its totient is φ = 55951408800.

The previous prime is 195829934327. The next prime is 195829934329. The reversal of 195829934328 is 823439928591.

195829934328 is a `hidden beast` number, since 1 + 9 + 582 + 9 + 9 + 3 + 43 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (195829934327) and next prime (195829934329).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195829934327) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27750148 + ... + 27757203.

It is an arithmetic number, because the mean of its divisors is an integer number (8568947465).

Almost surely, 2195829934328 is an apocalyptic number.

195829934328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

195829934328 is an abundant number, since it is smaller than the sum of its proper divisors (421134283152).

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

195829934328 is a wasteful number, since it uses less digits than its factorization.

195829934328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55507377 (or 55507363 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 195829934328 in words is "one hundred ninety-five billion, eight hundred twenty-nine million, nine hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 55507351 111014702 166522053 222029404 333044106 388551457 444058808 499566159 666088212 777102914 999132318 1165654371 1332176424 1554205828 1998264636 2331308742 2719860199 3108411656 3496963113 3996529272 4662617484 5439720398 6993926226 8159580597 9325234968 10879440796 13987852452 16319161194 21758881592 24478741791 27975704904 32638322388 48957483582 65276644776 97914967164 195829934328