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198255326816 = 25174126833313
BaseRepresentation
bin1011100010100011110…
…0000011011001100000
3200221201202101002211002
42320220330003121200
511222011330424231
6231024403411132
720215644321161
oct2705074033140
9627652332732
10198255326816
1177096a66438
123250b383aa8
1315906a30c91
14984a4cb768
1552551e90cb
hex2e28f03660

198255326816 has 96 divisors (see below), whose sum is σ = 423640391328. Its totient is φ = 90959708160.

The previous prime is 198255326809. The next prime is 198255326827. The reversal of 198255326816 is 618623552891.

It is a super-2 number, since 2×1982553268162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59839976 + ... + 59843288.

It is an arithmetic number, because the mean of its divisors is an integer number (4412920743).

Almost surely, 2198255326816 is an apocalyptic number.

198255326816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198255326816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211820195664).

198255326816 is an abundant number, since it is smaller than the sum of its proper divisors (225385064512).

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

198255326816 is a wasteful number, since it uses less digits than its factorization.

198255326816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064 (or 6056 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 56.

The spelling of 198255326816 in words is "one hundred ninety-eight billion, two hundred fifty-five million, three hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 272 328 544 656 697 1312 1394 2683 2788 3313 5366 5576 6626 10732 11152 13252 21464 22304 26504 42928 45611 53008 56321 85856 91222 106016 110003 112642 135833 182444 220006 225284 271666 364888 440012 450568 543332 729776 880024 901136 1086664 1459552 1760048 1802272 1870051 2173328 2309161 3520096 3740102 4346656 4618322 7480204 8888779 9236644 14960408 17777558 18473288 29920816 35555116 36946576 59841632 71110232 73893152 142220464 151109243 284440928 302218486 364439939 604436972 728879878 1208873944 1457759756 2417747888 2915519512 4835495776 5831039024 6195478963 11662078048 12390957926 24781915852 49563831704 99127663408 198255326816