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198045438912 = 2633114609629
BaseRepresentation
bin1011100001110001101…
…1011001001111000000
3200221012010102200202000
42320130123121033000
511221044113021122
6230551505024000
720210515312116
oct2703433311700
9627163380660
10198045438912
1176a9953a562
1232471025000
13158a23c4159
14982a693ab6
155241a8a0ac
hex2e1c6d93c0

198045438912 has 56 divisors (see below), whose sum is σ = 582216920400. Its totient is φ = 66015145728.

The previous prime is 198045438859. The next prime is 198045438931. The reversal of 198045438912 is 219834540891.

It is a happy number.

198045438912 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 4 + 543 + 8 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57303087 + ... + 57306542.

Almost surely, 2198045438912 is an apocalyptic number.

198045438912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198045438912 is an abundant number, since it is smaller than the sum of its proper divisors (384171481488).

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

198045438912 is a wasteful number, since it uses less digits than its factorization.

198045438912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114609650 (or 114609634 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 198045438912 in words is "one hundred ninety-eight billion, forty-five million, four hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 114609629 229219258 343828887 458438516 687657774 916877032 1031486661 1375315548 1833754064 2062973322 2750631096 3094459983 3667508128 4125946644 5501262192 6188919966 7335016256 8251893288 11002524384 12377839932 16503786576 22005048768 24755679864 33007573152 49511359728 66015146304 99022719456 198045438912