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189983744352 = 2533219888593
BaseRepresentation
bin1011000011101111101…
…0011110000101100000
3200011101021221011211000
42300323322132011200
511103041314304402
6223135522552000
716503655116333
oct2607372360540
9604337834730
10189983744352
1173631964076
12309a1208600
1314bb915c99c
1492a3b2a61a
154e1de54c1c
hex2c3be9e160

189983744352 has 48 divisors (see below), whose sum is σ = 554119256880. Its totient is φ = 63327914496.

The previous prime is 189983744351. The next prime is 189983744381. The reversal of 189983744352 is 253447389981.

189983744352 is a `hidden beast` number, since 1 + 89 + 98 + 37 + 4 + 435 + 2 = 666.

189983744352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 189983744352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189983744351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109943433 + ... + 109945160.

It is an arithmetic number, because the mean of its divisors is an integer number (11544151185).

Almost surely, 2189983744352 is an apocalyptic number.

189983744352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

189983744352 is an abundant number, since it is smaller than the sum of its proper divisors (364135512528).

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

189983744352 is a wasteful number, since it uses less digits than its factorization.

189983744352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219888612 (or 219888598 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 189983744352 in words is "one hundred eighty-nine billion, nine hundred eighty-three million, seven hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 219888593 439777186 659665779 879554372 1319331558 1759108744 1978997337 2638663116 3518217488 3957994674 5277326232 5936992011 7036434976 7915989348 10554652464 11873984022 15831978696 21109304928 23747968044 31663957392 47495936088 63327914784 94991872176 189983744352