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42495348736 = 21232212
BaseRepresentation
bin100111100100111010…
…111001000000000000
311001200120111101110001
4213210322321000000
51144012302124421
631304434445344
73033034335001
oct474472710000
9131616441401
1042495348736
1117027575525
12829b733854
134013043889
1420b1b6b1a8
15118aae4691
hex9e4eb9000

42495348736 has 39 divisors (see below), whose sum is σ = 85006714033. Its totient is φ = 21241077760.

The previous prime is 42495348713. The next prime is 42495348751. The reversal of 42495348736 is 63784359424.

The square root of 42495348736 is 206144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32781275136 + 9714073600 = 181056^2 + 98560^2 .

It is a super-4 number, since 4×424953487364 (a number of 44 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13191606 + ... + 13194826.

Almost surely, 242495348736 is an apocalyptic number.

42495348736 is the 206144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42495348736

42495348736 is an abundant number, since it is smaller than the sum of its proper divisors (42511365297).

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

42495348736 is an frugal number, since it uses more digits than its factorization.

42495348736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6466 (or 3223 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 55.

The spelling of 42495348736 in words is "forty-two billion, four hundred ninety-five million, three hundred forty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3221 4096 6442 12884 25768 51536 103072 206144 412288 824576 1649152 3298304 6596608 10374841 13193216 20749682 41499364 82998728 165997456 331994912 663989824 1327979648 2655959296 5311918592 10623837184 21247674368 42495348736