Search a number
-
+
198130156056 = 23337131038463
BaseRepresentation
bin1011100010000101111…
…0100100001000011000
3200221102000211202211000
42320201132210020120
511221232304443211
6231004132505000
720212564352640
oct2704136441030
9627360752730
10198130156056
1177032342828
123249547b160
13158b6b16641
149837a27520
155249221656
hex2e217a4218

198130156056 has 64 divisors (see below), whose sum is σ = 628984627200. Its totient is φ = 56608615584.

The previous prime is 198130156051. The next prime is 198130156087. The reversal of 198130156056 is 650651031891.

198130156056 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 30 + 1 + 5 + 605 + 6 = 666.

It is a super-3 number, since 3×1981301560563 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198130156051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65517720 + ... + 65520743.

It is an arithmetic number, because the mean of its divisors is an integer number (9827884800).

Almost surely, 2198130156056 is an apocalyptic number.

It is an amenable number.

198130156056 is an abundant number, since it is smaller than the sum of its proper divisors (430854471144).

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

198130156056 is a wasteful number, since it uses less digits than its factorization.

198130156056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131038485 (or 131038475 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 198130156056 in words is "one hundred ninety-eight billion, one hundred thirty million, one hundred fifty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 131038463 262076926 393115389 524153852 786230778 917269241 1048307704 1179346167 1572461556 1834538482 2358692334 2751807723 3144923112 3538038501 3669076964 4717384668 5503615446 7076077002 7338153928 8255423169 9434769336 11007230892 14152154004 16510846338 22014461784 24766269507 28304308008 33021692676 49532539014 66043385352 99065078028 198130156056