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199211601248 = 251143103127781
BaseRepresentation
bin1011100110000111101…
…1111100110101100000
3201001012101202212201122
42321201323330311200
511230441132214443
6231303323551412
720251435446242
oct2714173746540
9631171685648
10199211601248
1177537834590
123273768b568
1315a29b9b93a
1498db4d6092
1552ae13e968
hex2e61efcd60

199211601248 has 96 divisors (see below), whose sum is σ = 442056206592. Its totient is φ = 87585523200.

The previous prime is 199211601233. The next prime is 199211601257. The reversal of 199211601248 is 842106112991.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 199211601199 and 199211601208.

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, 1495118 + ... + 1622898.

It is an arithmetic number, because the mean of its divisors is an integer number (4604752152).

Almost surely, 2199211601248 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 199211601248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221028103296).

199211601248 is an abundant number, since it is smaller than the sum of its proper divisors (242844605344).

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

199211601248 is a wasteful number, since it uses less digits than its factorization.

199211601248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127948 (or 127940 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 44.

The spelling of 199211601248 in words is "one hundred ninety-nine billion, two hundred eleven million, six hundred one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 103 172 176 206 344 352 412 473 688 824 946 1133 1376 1648 1892 2266 3296 3784 4429 4532 7568 8858 9064 15136 17716 18128 35432 36256 48719 70864 97438 127781 141728 194876 255562 389752 511124 779504 1022248 1405591 1559008 2044496 2811182 4088992 5494583 5622364 10989166 11244728 13161443 21978332 22489456 26322886 43956664 44978912 52645772 60440413 87913328 105291544 120880826 144775873 175826656 210583088 241761652 289551746 421166176 483523304 565942049 579103492 967046608 1131884098 1158206984 1934093216 2263768196 2316413968 4527536392 4632827936 6225362539 9055072784 12450725078 18110145568 24901450156 49802900312 99605800624 199211601248