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42459699744 = 2534711229929
BaseRepresentation
bin100111100010110010…
…111001101000100000
311001121002102020020000
4213202302321220200
51143424140342434
631301122420000
73032122331040
oct474262715040
9131532366200
1042459699744
1117009436950
12828b801600
1340088415b7
1420ab12b720
151187901b99
hex9e2cb9a20

42459699744 has 480 divisors, whose sum is σ = 156533731200. Its totient is φ = 10968514560.

The previous prime is 42459699731. The next prime is 42459699803. The reversal of 42459699744 is 44799695424.

42459699744 is a `hidden beast` number, since 424 + 59 + 6 + 99 + 74 + 4 = 666.

It is a super-2 number, since 2×424596997442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45704272 + ... + 45705200.

It is an arithmetic number, because the mean of its divisors is an integer number (326111940).

Almost surely, 242459699744 is an apocalyptic number.

42459699744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42459699744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78266865600).

42459699744 is an abundant number, since it is smaller than the sum of its proper divisors (114074031456).

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

42459699744 is a wasteful number, since it uses less digits than its factorization.

42459699744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1181 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 42459699744 in words is "forty-two billion, four hundred fifty-nine million, six hundred ninety-nine thousand, seven hundred forty-four".