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42083337936 = 24329112326921
BaseRepresentation
bin100111001100010111…
…001100011011010000
311000121212020001212210
4213030113030123100
51142141313303221
631155515552120
73016602320223
oct471427143320
9130555201783
1042083337936
1116935a46732
1281a575b640
133c788883c3
14207315b5ba
15116485c276
hex9cc5cc6d0

42083337936 has 80 divisors (see below), whose sum is σ = 112568420160. Its totient is φ = 13531499520.

The previous prime is 42083337931. The next prime is 42083337941. The reversal of 42083337936 is 63973338024.

It is an interprime number because it is at equal distance from previous prime (42083337931) and next prime (42083337941).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42083337931) 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, 1549756 + ... + 1576676.

It is an arithmetic number, because the mean of its divisors is an integer number (1407105252).

Almost surely, 242083337936 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 42083337936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56284210080).

42083337936 is an abundant number, since it is smaller than the sum of its proper divisors (70485082224).

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

42083337936 is a wasteful number, since it uses less digits than its factorization.

42083337936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28084 (or 28078 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 48.

The spelling of 42083337936 in words is "forty-two billion, eighty-three million, three hundred thirty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1123 1392 2246 3369 4492 6738 8984 13476 17968 26921 26952 32567 53842 53904 65134 80763 97701 107684 130268 161526 195402 215368 260536 323052 390804 430736 521072 646104 780709 781608 1292208 1561418 1563216 2342127 3122836 4684254 6245672 9368508 12491344 18737016 30232283 37474032 60464566 90696849 120929132 181393698 241858264 362787396 483716528 725574792 876736207 1451149584 1753472414 2630208621 3506944828 5260417242 7013889656 10520834484 14027779312 21041668968 42083337936