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42064717472 = 2537193184081
BaseRepresentation
bin100111001011010000…
…001010011010100000
311000120120012001101222
4213023100022122200
51142122031424342
631154012514212
73016255125161
oct471320123240
9130516161358
1042064717472
1116926488918
12819b47b968
133c74a68b8b
1420708b1768
151162dceed2
hex9cb40a6a0

42064717472 has 48 divisors (see below), whose sum is σ = 85494307752. Its totient is φ = 20357775360.

The previous prime is 42064717463. The next prime is 42064717477. The reversal of 42064717472 is 27471746024.

It can be written as a sum of positive squares in 4 ways, for example, as 41061348496 + 1003368976 = 202636^2 + 31676^2 .

It is not an unprimeable number, because it can be changed into a prime (42064717477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136472 + ... + 320552.

Almost surely, 242064717472 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 42064717472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42747153876).

42064717472 is an abundant number, since it is smaller than the sum of its proper divisors (43429590280).

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

42064717472 is a wasteful number, since it uses less digits than its factorization.

42064717472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184321 (or 184313 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 44.

The spelling of 42064717472 in words is "forty-two billion, sixty-four million, seven hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 74 148 193 296 386 592 772 1184 1544 3088 6176 7141 14282 28564 57128 114256 184081 228512 368162 736324 1472648 2945296 5890592 6810997 13621994 27243988 35527633 54487976 71055266 108975952 142110532 217951904 284221064 568442128 1136884256 1314522421 2629044842 5258089684 10516179368 21032358736 42064717472