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42074720256 = 21136848099
BaseRepresentation
bin100111001011110110…
…010100100000000000
311000121021000020122110
4213023312110200000
51142132112022011
631155011135320
73016436135622
oct471366244000
9130537006573
1042074720256
11169310a0088
1281a28a4540
133c76b5ba9a
142071d56c12
151163c08ba6
hex9cbd94800

42074720256 has 48 divisors (see below), whose sum is σ = 112171878000. Its totient is φ = 14024904704.

The previous prime is 42074720251. The next prime is 42074720257. The reversal of 42074720256 is 65202747024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (42074720251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3417906 + ... + 3430193.

It is an arithmetic number, because the mean of its divisors is an integer number (2336914125).

Almost surely, 242074720256 is an apocalyptic number.

It is an amenable number.

42074720256 is an abundant number, since it is smaller than the sum of its proper divisors (70097157744).

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

42074720256 is an equidigital number, since it uses as much as digits as its factorization.

42074720256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6848124 (or 6848104 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 42074720256 in words is "forty-two billion, seventy-four million, seven hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 6848099 13696198 20544297 27392396 41088594 54784792 82177188 109569584 164354376 219139168 328708752 438278336 657417504 876556672 1314835008 1753113344 2629670016 3506226688 5259340032 7012453376 10518680064 14024906752 21037360128 42074720256