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42075740972529 = 32112712741572161
BaseRepresentation
bin10011001000100100001011…
…00110000010010111110001
312111222101211201202220221100
421210102011212002113301
521003332104142110104
6225253154545115013
711601605041145505
oct1144220546022761
9174871751686840
1042075740972529
1112452248959620
124876688628a69
131a6295778b834
14a56696204305
154ce747329139
hex2644859825f1

42075740972529 has 48 divisors (see below), whose sum is σ = 66570215632128. Its totient is φ = 25397038080000.

The previous prime is 42075740972513. The next prime is 42075740972561. The reversal of 42075740972529 is 92527904757024.

42075740972529 is a `hidden beast` number, since 4 + 2 + 0 + 7 + 574 + 0 + 9 + 7 + 2 + 52 + 9 = 666.

It is not a de Polignac number, because 42075740972529 - 24 = 42075740972513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42075740932529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73252209 + ... + 73824369.

It is an arithmetic number, because the mean of its divisors is an integer number (1386879492336).

Almost surely, 242075740972529 is an apocalyptic number.

It is an amenable number.

42075740972529 is a deficient number, since it is larger than the sum of its proper divisors (24494474659599).

42075740972529 is a wasteful number, since it uses less digits than its factorization.

42075740972529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575190 (or 575187 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 42075740972529 in words is "forty-two trillion, seventy-five billion, seven hundred forty million, nine hundred seventy-two thousand, five hundred twenty-nine".

Divisors: 1 3 9 11 33 99 271 813 2439 2741 2981 8223 8943 24669 26829 30151 90453 271359 572161 742811 1716483 2228433 5149449 6293771 6685299 8170921 18881313 24512763 56643939 73538289 155055631 465166893 1395500679 1568293301 1705611941 4704879903 5116835823 14114639709 15350507469 17251226311 51753678933 155261036799 425007484571 1275022453713 3825067361139 4675082330281 14025246990843 42075740972529