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190942799200 = 25527110930841
BaseRepresentation
bin1011000111010100010…
…0111110010101100000
3200020212010120012201221
42301311010332111200
511112022324033300
6223415022504424
716536512004526
oct2616504762540
9606763505657
10190942799200
1173a8426118a
123100a435114
131500ca6206a
14935525a316
154e7824931a
hex2c7513e560

190942799200 has 144 divisors (see below), whose sum is σ = 477056653920. Its totient is φ = 74608128000.

The previous prime is 190942799167. The next prime is 190942799207. The reversal of 190942799200 is 2997249091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190942799207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6175780 + ... + 6206620.

It is an arithmetic number, because the mean of its divisors is an integer number (3312893430).

Almost surely, 2190942799200 is an apocalyptic number.

190942799200 is a gapful number since it is divisible by the number (10) 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 190942799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238528326960).

190942799200 is an abundant number, since it is smaller than the sum of its proper divisors (286113854720).

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

190942799200 is a wasteful number, since it uses less digits than its factorization.

190942799200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31041 (or 31028 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 52.

The spelling of 190942799200 in words is "one hundred ninety billion, nine hundred forty-two million, seven hundred ninety-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 109 142 160 200 218 284 355 400 436 545 568 710 800 872 1090 1136 1420 1744 1775 2180 2272 2725 2840 3488 3550 4360 5450 5680 7100 7739 8720 10900 11360 14200 15478 17440 21800 28400 30841 30956 38695 43600 56800 61682 61912 77390 87200 123364 123824 154205 154780 193475 246728 247648 308410 309560 386950 493456 616820 619120 771025 773900 986912 1233640 1238240 1542050 1547800 2189711 2467280 3084100 3095600 3361669 4379422 4934560 6168200 6191200 6723338 8758844 10948555 12336400 13446676 16808345 17517688 21897110 24672800 26893352 33616690 35035376 43794220 53786704 54742775 67233380 70070752 84041725 87588440 107573408 109485550 134466760 168083450 175176880 218971100 238678499 268933520 336166900 350353760 437942200 477356998 537867040 672333800 875884400 954713996 1193392495 1344667600 1751768800 1909427992 2386784990 2689335200 3818855984 4773569980 5966962475 7637711968 9547139960 11933924950 19094279920 23867849900 38188559840 47735699800 95471399600 190942799200