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42992445700 = 225219190111903
BaseRepresentation
bin101000000010100011…
…001010100100000100
311002222012212112021201
4220002203022210010
51201022031230300
631430033152244
73051251521201
oct500243124404
9132865775251
1042992445700
1117262129866
1283ba0bb684
1340920204a9
14211bba8ca8
1511b958766a
hexa028ca904

42992445700 has 72 divisors (see below), whose sum is σ = 98263710720. Its totient is φ = 16281936000.

The previous prime is 42992445653. The next prime is 42992445703. The reversal of 42992445700 is 754429924.

It is not an unprimeable number, because it can be changed into a prime (42992445703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3605949 + ... + 3617851.

It is an arithmetic number, because the mean of its divisors is an integer number (1364773760).

Almost surely, 242992445700 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 42992445700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49131855360).

42992445700 is an abundant number, since it is smaller than the sum of its proper divisors (55271265020).

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

42992445700 is a wasteful number, since it uses less digits than its factorization.

42992445700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13837 (or 13830 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 42992445700 in words is "forty-two billion, nine hundred ninety-two million, four hundred forty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 1901 3802 7604 9505 11903 19010 23806 36119 38020 47525 47612 59515 72238 95050 119030 144476 180595 190100 226157 238060 297575 361190 452314 595150 722380 902975 904628 1130785 1190300 1805950 2261570 3611900 4523140 5653925 11307850 22615700 22627603 45255206 90510412 113138015 226276030 429924457 452552060 565690075 859848914 1131380150 1719697828 2149622285 2262760300 4299244570 8598489140 10748111425 21496222850 42992445700