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190971386720 = 2554358747287
BaseRepresentation
bin1011000111011011001…
…0000001101101100000
3200020221010100121102222
42301312302001231200
511112102133333340
6223421523330212
716540310001212
oct2616662015540
9606833317388
10190971386720
1173a99407434
1231017b20968
131501596115a
149358d7c5b2
154e7a9e48b5
hex2c76c81b60

190971386720 has 96 divisors (see below), whose sum is σ = 462458481408. Its totient is φ = 74483394048.

The previous prime is 190971386707. The next prime is 190971386729. The reversal of 190971386720 is 27683179091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190971386729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4014917 + ... + 4062203.

It is an arithmetic number, because the mean of its divisors is an integer number (4817275848).

Almost surely, 2190971386720 is an apocalyptic number.

190971386720 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 190971386720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231229240704).

190971386720 is an abundant number, since it is smaller than the sum of its proper divisors (271487094688).

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

190971386720 is a wasteful number, since it uses less digits than its factorization.

190971386720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47932 (or 47924 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 53.

The spelling of 190971386720 in words is "one hundred ninety billion, nine hundred seventy-one million, three hundred eighty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 587 688 860 1174 1376 1720 2348 2935 3440 4696 5870 6880 9392 11740 18784 23480 25241 46960 47287 50482 93920 94574 100964 126205 189148 201928 236435 252410 378296 403856 472870 504820 756592 807712 945740 1009640 1513184 1891480 2019280 2033341 3782960 4038560 4066682 7565920 8133364 10166705 16266728 20333410 27757469 32533456 40666820 55514938 65066912 81333640 111029876 138787345 162667280 222059752 277574690 325334560 444119504 555149380 888239008 1110298760 1193571167 2220597520 2387142334 4441195040 4774284668 5967855835 9548569336 11935711670 19097138672 23871423340 38194277344 47742846680 95485693360 190971386720