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197187760896 = 2837127728723
BaseRepresentation
bin1011011110100101001…
…1100111001100000000
3200211222100120010200120
42313221103213030000
511212320031322041
6230330430020240
720150332212120
oct2675123471400
9624870503616
10197187760896
1176699394355
1232271947680
13157967c8179
1497887d2c80
1551e161d366
hex2de94e7300

197187760896 has 144 divisors (see below), whose sum is σ = 600270015744. Its totient is φ = 56293281792.

The previous prime is 197187760871. The next prime is 197187760951. The reversal of 197187760896 is 698067781791.

It is a self number, because there is not a number n which added to its sum of digits gives 197187760896.

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, 6850791 + ... + 6879513.

It is an arithmetic number, because the mean of its divisors is an integer number (4168541776).

Almost surely, 2197187760896 is an apocalyptic number.

197187760896 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 197187760896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300135007872).

197187760896 is an abundant number, since it is smaller than the sum of its proper divisors (403082254848).

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

197187760896 is a wasteful number, since it uses less digits than its factorization.

197187760896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30026 (or 30012 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 69.

The spelling of 197187760896 in words is "one hundred ninety-seven billion, one hundred eighty-seven million, seven hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1277 1344 1792 2554 2688 3831 5108 5376 7662 8939 10216 15324 17878 20432 26817 28723 30648 35756 40864 53634 57446 61296 71512 81728 86169 107268 114892 122592 143024 163456 172338 201061 214536 229784 245184 286048 326912 344676 402122 429072 459568 490368 572096 603183 689352 804244 858144 919136 980736 1144192 1206366 1378704 1608488 1716288 1838272 2288384 2412732 2757408 3216976 3432576 3676544 4825464 5514816 6433952 6865152 7353088 9650928 11029632 12867904 19301856 22059264 25735808 36679271 38603712 51471616 73358542 77207424 110037813 146717084 154414848 220075626 256754897 293434168 440151252 513509794 586868336 770264691 880302504 1027019588 1173736672 1540529382 1760605008 2054039176 2347473344 3081058764 3521210016 4108078352 4694946688 6162117528 7042420032 8216156704 9389893376 12324235056 14084840064 16432313408 24648470112 28169680128 32864626816 49296940224 65729253632 98593880448 197187760896