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198108370944 = 21133112291021
BaseRepresentation
bin1011100010000000101…
…1011101100000000000
3200221100111211222021000
42320200023131200000
511221211220332234
6231002033532000
720212211240331
oct2704013354000
9627314758230
10198108370944
1177021013300
123248a114000
13158b2459843
149834b96288
15524736b899
hex2e202dd800

198108370944 has 576 divisors, whose sum is σ = 667940364000. Its totient is φ = 57905971200.

The previous prime is 198108370939. The next prime is 198108370951. The reversal of 198108370944 is 449073801891.

198108370944 is digitally balanced in base 3, 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 (576).

It is a super-2 number, since 2×1981083709442 (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194033154 + ... + 194034174.

Almost surely, 2198108370944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198108370944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333970182000).

198108370944 is an abundant number, since it is smaller than the sum of its proper divisors (469831993056).

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

198108370944 is a wasteful number, since it uses less digits than its factorization.

198108370944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 198108370944 in words is "one hundred ninety-eight billion, one hundred eight million, three hundred seventy thousand, nine hundred forty-four".