Search a number
-
+
198855524056 = 237171273314969
BaseRepresentation
bin1011100100110010110…
…1100111111011011000
3201000021120202021122111
42321030231213323120
511224224003232211
6231204124002104
720236553031310
oct2711455477330
9630246667574
10198855524056
1177374839512
1232658390334
13159a1198587
1498a60c6440
15528cc55421
hex2e4cb67ed8

198855524056 has 128 divisors (see below), whose sum is σ = 456203059200. Its totient is φ = 79322664960.

The previous prime is 198855523963. The next prime is 198855524057. The reversal of 198855524056 is 650425558891.

198855524056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1988555240562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198855524057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40016740 + ... + 40021708.

It is an arithmetic number, because the mean of its divisors is an integer number (3564086400).

Almost surely, 2198855524056 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 198855524056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228101529600).

198855524056 is an abundant number, since it is smaller than the sum of its proper divisors (257347535144).

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

198855524056 is a wasteful number, since it uses less digits than its factorization.

198855524056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5457 (or 5453 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 58.

The spelling of 198855524056 in words is "one hundred ninety-eight billion, eight hundred fifty-five million, five hundred twenty-four thousand, fifty-six".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 127 136 238 254 331 476 508 662 889 952 1016 1324 1778 2159 2317 2648 3556 4318 4634 4969 5627 7112 8636 9268 9938 11254 15113 17272 18536 19876 22508 30226 34783 39389 39752 42037 45016 60452 69566 78778 84074 84473 120904 139132 157556 168148 168946 278264 294259 315112 336296 337892 588518 591311 631063 675784 714629 1177036 1182622 1262126 1429258 1644739 2354072 2365244 2524252 2858516 3289478 4417441 4730488 5002403 5048504 5717032 6578956 8834882 10004806 10728071 11513173 13157912 17669764 20009612 21456142 23026346 27960563 35339528 40019224 42912284 46052692 55921126 75096497 85824568 92105384 111842252 150192994 195723941 208881853 223684504 300385988 391447882 417763706 600771976 782895764 835527412 1462172971 1565791528 1671054824 2924345942 3550991501 5848691884 7101983002 11697383768 14203966004 24856940507 28407932008 49713881014 99427762028 198855524056