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42719694336 = 293211312877
BaseRepresentation
bin100111110010010010…
…101100111000000000
311002021012122022202100
4213302102230320000
51144442220204321
631343011150400
73041430260544
oct476222547000
9132235568670
1042719694336
1117132176710
1283428a5400
13404a673257
1420d3889a24
1511a065c326
hex9f24ace00

42719694336 has 360 divisors, whose sum is σ = 139137436152. Its totient is φ = 12513484800.

The previous prime is 42719694331. The next prime is 42719694337. The reversal of 42719694336 is 63349691724.

It is a happy number.

It is a super-4 number, since 4×427196943364 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42719694331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48710730 + ... + 48711606.

Almost surely, 242719694336 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 42719694336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69568718076).

42719694336 is an abundant number, since it is smaller than the sum of its proper divisors (96417741816).

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

42719694336 is a wasteful number, since it uses less digits than its factorization.

42719694336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 924 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 42719694336 in words is "forty-two billion, seven hundred nineteen million, six hundred ninety-four thousand, three hundred thirty-six".