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198138502144 = 2101117590421
BaseRepresentation
bin1011100010000111111…
…0011001110000000000
3200221102121112210111101
42320201332121300000
511221241424032034
6231005031424144
720213025323362
oct2704176316000
9627377483441
10198138502144
1177037023320
1232498225054
13158b877945b
149838b9ad32
155249d1e514
hex2e21f99c00

198138502144 has 44 divisors (see below), whose sum is σ = 432091126008. Its totient is φ = 90062950400.

The previous prime is 198138502141. The next prime is 198138502171. The reversal of 198138502144 is 441205831891.

It is a tau number, because it is divible by the number of its divisors (44).

It is a super-3 number, since 3×1981385021443 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198138502094 and 198138502103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198138502141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8783947 + ... + 8806474.

Almost surely, 2198138502144 is an apocalyptic number.

It is an amenable number.

198138502144 is an abundant number, since it is smaller than the sum of its proper divisors (233952623864).

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

198138502144 is a wasteful number, since it uses less digits than its factorization.

198138502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17590452 (or 17590434 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 198138502144 in words is "one hundred ninety-eight billion, one hundred thirty-eight million, five hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264 17590421 35180842 70361684 140723368 193494631 281446736 386989262 562893472 773978524 1125786944 1547957048 2251573888 3095914096 4503147776 6191828192 9006295552 12383656384 18012591104 24767312768 49534625536 99069251072 198138502144