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6742300000 = 2555191353
BaseRepresentation
bin1100100011101111…
…10101010101100000
3122101212211022211211
412101313311111200
5102302012100000
63033010515504
7326036414212
oct62167652540
918355738754
106742300000
11294a941867
121381b95b94
13835ac8837
1447d6385b2
15296db37ba
hex191df5560

6742300000 has 144 divisors (see below), whose sum is σ = 16725429504. Its totient is φ = 2675200000.

The previous prime is 6742299997. The next prime is 6742300007. The reversal of 6742300000 is 32476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6742300007) 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 23 ways as a sum of consecutive naturals, for example, 19099824 + ... + 19100176.

It is an arithmetic number, because the mean of its divisors is an integer number (116148816).

Almost surely, 26742300000 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 6742300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8362714752).

6742300000 is an abundant number, since it is smaller than the sum of its proper divisors (9983129504).

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

6742300000 is an equidigital number, since it uses as much as digits as its factorization.

6742300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 6742300000 is about 82111.5095464698. The cubic root of 6742300000 is about 1889.1626797795.

Adding to 6742300000 its reverse (32476), we get a palindrome (6742332476).

The spelling of 6742300000 in words is "six billion, seven hundred forty-two million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 191 200 250 353 382 400 500 625 706 764 800 955 1000 1250 1412 1528 1765 1910 2000 2500 2824 3056 3125 3530 3820 4000 4775 5000 5648 6112 6250 7060 7640 8825 9550 10000 11296 12500 14120 15280 17650 19100 20000 23875 25000 28240 30560 35300 38200 44125 47750 50000 56480 67423 70600 76400 88250 95500 100000 119375 134846 141200 152800 176500 191000 220625 238750 269692 282400 337115 353000 382000 441250 477500 539384 596875 674230 706000 764000 882500 955000 1078768 1103125 1193750 1348460 1412000 1685575 1765000 1910000 2157536 2206250 2387500 2696920 3371150 3530000 3820000 4412500 4775000 5393840 6742300 7060000 8427875 8825000 9550000 10787680 13484600 16855750 17650000 19100000 26969200 33711500 35300000 42139375 53938400 67423000 84278750 134846000 168557500 210696875 269692000 337115000 421393750 674230000 842787500 1348460000 1685575000 3371150000 6742300000