Search a number
-
+
6758194000 = 245341731129
BaseRepresentation
bin1100100101101000…
…11101101101010000
3122102222201211022111
412102310131231100
5102320044202000
63034335315104
7326321462335
oct62264355520
918388654274
106758194000
1129589081a8
12138737ba94
138391a207c
144817b498c
152984a2cba
hex192d1db50

6758194000 has 160 divisors (see below), whose sum is σ = 16984225440. Its totient is φ = 2598912000.

The previous prime is 6758193997. The next prime is 6758194007. The reversal of 6758194000 is 4918576.

It can be written as a sum of positive squares in 16 ways, for example, as 6715474704 + 42719296 = 81948^2 + 6536^2 .

It is a super-2 number, since 2×67581940002 = 91346372283272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6758194007) 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, 5985436 + ... + 5986564.

It is an arithmetic number, because the mean of its divisors is an integer number (106151409).

Almost surely, 26758194000 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 6758194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8492112720).

6758194000 is an abundant number, since it is smaller than the sum of its proper divisors (10226031440).

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

6758194000 is a wasteful number, since it uses less digits than its factorization.

6758194000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 6758194000 is about 82208.2355971712. The cubic root of 6758194000 is about 1890.6459910244.

The spelling of 6758194000 in words is "six billion, seven hundred fifty-eight million, one hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 73 80 82 100 125 146 164 200 205 250 292 328 365 400 410 500 584 656 730 820 1000 1025 1129 1168 1460 1640 1825 2000 2050 2258 2920 2993 3280 3650 4100 4516 5125 5645 5840 5986 7300 8200 9032 9125 10250 11290 11972 14600 14965 16400 18064 18250 20500 22580 23944 28225 29200 29930 36500 41000 45160 46289 47888 56450 59860 73000 74825 82000 82417 90320 92578 112900 119720 141125 146000 149650 164834 185156 225800 231445 239440 282250 299300 329668 370312 374125 412085 451600 462890 564500 598600 659336 740624 748250 824170 925780 1129000 1157225 1197200 1318672 1496500 1648340 1851560 2060425 2258000 2314450 2993000 3296680 3379097 3703120 4120850 4628900 5786125 5986000 6593360 6758194 8241700 9257800 10302125 11572250 13516388 16483400 16895485 18515600 20604250 23144500 27032776 32966800 33790970 41208500 46289000 54065552 67581940 82417000 84477425 92578000 135163880 164834000 168954850 270327760 337909700 422387125 675819400 844774250 1351638800 1689548500 3379097000 6758194000