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198135181356 = 223717138750127
BaseRepresentation
bin1011100010000111000…
…1101111000000101100
3200221102101022002020020
42320201301233000230
511221240101300411
6231004432322140
720212655152650
oct2704161570054
9627371262206
10198135181356
1177035165372
12324970a3350
13158b7b85aa8
149838574a60
1552498b5606
hex2e21c6f02c

198135181356 has 48 divisors (see below), whose sum is σ = 559440516096. Its totient is φ = 53280048384.

The previous prime is 198135181351. The next prime is 198135181381. The reversal of 198135181356 is 653181531891.

It is a super-3 number, since 3×1981351813563 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 198135181299 and 198135181308.

It is not an unprimeable number, because it can be changed into a prime (198135181351) 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 15 ways as a sum of consecutive naturals, for example, 69373636 + ... + 69376491.

It is an arithmetic number, because the mean of its divisors is an integer number (11655010752).

Almost surely, 2198135181356 is an apocalyptic number.

It is an amenable number.

198135181356 is an abundant number, since it is smaller than the sum of its proper divisors (361305334740).

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

198135181356 is a wasteful number, since it uses less digits than its factorization.

198135181356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138750158 (or 138750156 counting only the distinct ones).

The product of its digits is 777600, while the sum is 51.

The spelling of 198135181356 in words is "one hundred ninety-eight billion, one hundred thirty-five million, one hundred eighty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 138750127 277500254 416250381 555000508 832500762 971250889 1665001524 1942501778 2358752159 2913752667 3885003556 4717504318 5827505334 7076256477 9435008636 11655010668 14152512954 16511265113 28305025908 33022530226 49533795339 66045060452 99067590678 198135181356