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41252544125 = 5313232371297
BaseRepresentation
bin100110011010110101…
…111101111001111101
310221110221221101000122
4212122311331321331
51133441122403000
630541241104325
72660163560642
oct463265757175
9127427841018
1041252544125
1116549a92a81
127bb34880a5
133b75713130
141dd4a97dc9
151116951085
hex99ad7de7d

41252544125 has 96 divisors (see below), whose sum is σ = 59571159648. Its totient is φ = 28329523200.

The previous prime is 41252544107. The next prime is 41252544139. The reversal of 41252544125 is 52144525214.

It can be written as a sum of positive squares in 16 ways, for example, as 13193279044 + 28059265081 = 114862^2 + 167509^2 .

It is not a de Polignac number, because 41252544125 - 26 = 41252544061 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31805477 + ... + 31806773.

It is an arithmetic number, because the mean of its divisors is an integer number (620532913).

Almost surely, 241252544125 is an apocalyptic number.

It is an amenable number.

41252544125 is a deficient number, since it is larger than the sum of its proper divisors (18318615523).

41252544125 is a wasteful number, since it uses less digits than its factorization.

41252544125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1375 counting only the distinct ones).

The product of its digits is 64000, while the sum is 35.

The spelling of 41252544125 in words is "forty-one billion, two hundred fifty-two million, five hundred forty-four thousand, one hundred twenty-five".

Divisors: 1 5 13 23 25 37 65 115 125 185 299 325 481 529 575 851 925 1297 1495 1625 2405 2645 2875 4255 4625 6485 6877 7475 11063 12025 13225 16861 19573 21275 29831 32425 34385 37375 47989 55315 60125 66125 84305 97865 106375 149155 162125 171925 239945 254449 276575 387803 421525 489325 623857 686113 745775 859625 1103747 1199725 1272245 1382875 1939015 2107625 2446625 3119285 3430565 3728875 5518735 5998625 6361225 8919469 9695075 14348711 15596425 17152825 25386181 27593675 31806125 44597345 48475375 71743555 77982125 85764125 126930905 137968375 222986725 330020353 358717775 634654525 1114933625 1650101765 1793588875 3173272625 8250508825 41252544125