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42969738240 = 21032511136521
BaseRepresentation
bin101000000001001100…
…100010110000000000
311002220122010212111200
4220001030202300000
51201000223110430
631423502341200
73050554514532
oct500114426000
9132818125450
1042969738240
111725032a370
1283b258a800
13408a3cc920
142118b77852
1511b759e460
hexa01322c00

42969738240 has 528 divisors, whose sum is σ = 174945397536. Its totient is φ = 9614131200.

The previous prime is 42969738233. The next prime is 42969738241. The reversal of 42969738240 is 4283796924.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (42969738241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6586180 + ... + 6592700.

Almost surely, 242969738240 is an apocalyptic number.

42969738240 is a gapful number since it is divisible by the number (40) 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 42969738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87472698768).

42969738240 is an abundant number, since it is smaller than the sum of its proper divisors (131975659296).

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

42969738240 is a wasteful number, since it uses less digits than its factorization.

42969738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6576 (or 6555 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 42969738240 in words is "forty-two billion, nine hundred sixty-nine million, seven hundred thirty-eight thousand, two hundred forty".