Search a number
-
+
198898269260616 = 233313151191373159
BaseRepresentation
bin101101001110010110011100…
…101011111000101101001000
3222002020111012100212121202000
4231032112130223320231020
5202032222123412314431
61543004334204111000
756615632346456532
oct5516263453705510
9862214170777660
10198898269260616
1158414311804232
121a383997b35460
1386ca045a63983
143718a28752852
1517edc016b69e6
hexb4e59caf8b48

198898269260616 has 128 divisors (see below), whose sum is σ = 556821872640000. Its totient is φ = 65780419947840.

The previous prime is 198898269260557. The next prime is 198898269260627. The reversal of 198898269260616 is 616062962898891.

198898269260616 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 98 + 269 + 260 + 6 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144160645 + ... + 145533803.

It is an arithmetic number, because the mean of its divisors is an integer number (4350170880000).

Almost surely, 2198898269260616 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 198898269260616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278410936320000).

198898269260616 is an abundant number, since it is smaller than the sum of its proper divisors (357923603379384).

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

198898269260616 is a wasteful number, since it uses less digits than its factorization.

198898269260616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378424 (or 1378414 counting only the distinct ones).

The product of its (nonzero) digits is 1934917632, while the sum is 81.

The spelling of 198898269260616 in words is "one hundred ninety-eight trillion, eight hundred ninety-eight billion, two hundred sixty-nine million, two hundred sixty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 216 262 393 524 786 1048 1179 1572 2358 3144 3537 4716 5119 7074 9432 10238 14148 15357 20476 28296 30714 40952 46071 61428 92142 122856 138213 184284 276426 368568 552852 670589 1105704 1341178 1373159 2011767 2682356 2746318 4023534 4119477 5364712 5492636 6035301 8047068 8238954 10985272 12070602 12358431 16094136 16477908 18105903 24141204 24716862 32955816 36211806 37075293 48282408 49433724 72423612 74150586 98867448 144847224 148301172 179883829 296602344 359767658 539651487 719535316 1079302974 1439070632 1618954461 2158605948 3237908922 4317211896 4856863383 6475817844 7029200921 9713726766 12951635688 14058401842 19427453532 21087602763 28116803684 38854907064 42175205526 56233607368 63262808289 84350411052 126525616578 168700822104 189788424867 253051233156 379576849734 506102466312 759153699468 920825320651 1518307398936 1841650641302 2762475961953 3683301282604 5524951923906 7366602565208 8287427885859 11049903847812 16574855771718 22099807695624 24862283657577 33149711543436 49724567315154 66299423086872 99449134630308 198898269260616