Search a number
-
+
198450468727104 = 26311162535781289
BaseRepresentation
bin101101000111110101011001…
…101100011010100101000000
3222000122200100101011112221010
4231013311121230122211000
5202002403024443231404
61542022515312400520
756541400420650516
oct5507653154324500
9860580311145833
10198450468727104
115826140a004590
121a311044546140
138696a5025b499
1437010a7ddc4b6
1517e224358c189
hexb47d59b1a940

198450468727104 has 112 divisors (see below), whose sum is σ = 572835558375360. Its totient is φ = 60132795248640.

The previous prime is 198450468727079. The next prime is 198450468727117. The reversal of 198450468727104 is 401727864054891.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31435692 + ... + 37216980.

It is an arithmetic number, because the mean of its divisors is an integer number (5114603199780).

Almost surely, 2198450468727104 is an apocalyptic number.

It is an amenable number.

198450468727104 is an abundant number, since it is smaller than the sum of its proper divisors (374385089648256).

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

198450468727104 is a wasteful number, since it uses less digits than its factorization.

198450468727104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797568 (or 5797558 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 66.

The spelling of 198450468727104 in words is "one hundred ninety-eight trillion, four hundred fifty billion, four hundred sixty-eight million, seven hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 16253 32506 48759 65012 97518 130024 178783 195036 260048 357566 390072 520096 536349 715132 780144 1040192 1072698 1430264 1560288 2145396 2860528 3120576 4290792 5721056 5781289 8581584 11442112 11562578 17163168 17343867 23125156 34326336 34687734 46250312 63594179 69375468 92500624 127188358 138750936 185001248 190782537 254376716 277501872 370002496 381565074 508753432 555003744 763130148 1017506864 1110007488 1526260296 2035013728 3052520592 4070027456 6105041184 12210082368 93963290117 187926580234 281889870351 375853160468 563779740702 751706320936 1033596191287 1127559481404 1503412641872 2067192382574 2255118962808 3006825283744 3100788573861 4134384765148 4510237925616 6013650567488 6201577147722 8268769530296 9020475851232 12403154295444 16537539060592 18040951702464 24806308590888 33075078121184 49612617181776 66150156242368 99225234363552 198450468727104