Search a number
-
+
198054032760 = 23325550150091
BaseRepresentation
bin1011100001110011110…
…0001011010101111000
3200221012201121022021200
42320130330023111320
511221103313022020
6230552413134200
720210651334063
oct2703474132570
9627181538250
10198054032760
1176aa337a211
1232473a8a360
13158a411297c
14982b88d8da
1552426d6590
hex2e1cf0b578

198054032760 has 48 divisors (see below), whose sum is σ = 643675607640. Its totient is φ = 52814408640.

The previous prime is 198054032753. The next prime is 198054032773. The reversal of 198054032760 is 67230450891.

198054032760 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 540 + 32 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275074686 + ... + 275075405.

It is a 1-persistent number, because it is pandigital, but 2⋅198054032760 = 396108065520 is not.

Almost surely, 2198054032760 is an apocalyptic number.

198054032760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198054032760 is an abundant number, since it is smaller than the sum of its proper divisors (445621574880).

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

198054032760 is a wasteful number, since it uses less digits than its factorization.

198054032760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550150108 (or 550150101 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 198054032760 in words is "one hundred ninety-eight billion, fifty-four million, thirty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 550150091 1100300182 1650450273 2200600364 2750750455 3300900546 4401200728 4951350819 5501500910 6601801092 8252251365 9902701638 11003001820 13203602184 16504502730 19805403276 22006003640 24756754095 33009005460 39610806552 49513508190 66018010920 99027016380 198054032760