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42567117124 = 2272147372
BaseRepresentation
bin100111101001001100…
…101010100101000100
311001212120112121011111
4213221030222211010
51144134140221444
631315521014404
73034565345200
oct475114524504
9131776477144
1042567117124
1117064034144
1282bb784404
134024b8128c
1420bb4cdb00
15119206e234
hex9e932a944

42567117124 has 27 divisors (see below), whose sum is σ = 86660368893. Its totient is φ = 18241812288.

The previous prime is 42567117113. The next prime is 42567117127. The reversal of 42567117124 is 42171176524.

The square root of 42567117124 is 206318.

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., 36172236100 + 6394881024 = 190190^2 + 79968^2 .

It is not an unprimeable number, because it can be changed into a prime (42567117127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2881084 + ... + 2895820.

Almost surely, 242567117124 is an apocalyptic number.

42567117124 is the 206318-th square number.

It is an amenable number.

42567117124 is an abundant number, since it is smaller than the sum of its proper divisors (44093251769).

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

42567117124 is an frugal number, since it uses more digits than its factorization.

42567117124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29492 (or 14746 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The spelling of 42567117124 in words is "forty-two billion, five hundred sixty-seven million, one hundred seventeen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 14737 29474 58948 103159 206318 412636 722113 1444226 2888452 217179169 434358338 868716676 1520254183 3040508366 6081016732 10641779281 21283558562 42567117124