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42511411524 = 22321126363839
BaseRepresentation
bin100111100101111000…
…001010100101000100
311001201200201110110010
4213211320022211010
51144030410132044
631310211030220
73033321015201
oct474570124504
9131650643403
1042511411524
111703564675a
1282a4b9b370
134016478b9a
1420b3d4cca8
15118c218bb9
hex9e5e0a944

42511411524 has 48 divisors (see below), whose sum is σ = 100043919360. Its totient is φ = 14049467040.

The previous prime is 42511411487. The next prime is 42511411529.

42511411524 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42511411491 and 42511411500.

It is not an unprimeable number, because it can be changed into a prime (42511411529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633997 + ... + 697835.

It is an arithmetic number, because the mean of its divisors is an integer number (2084248320).

Almost surely, 242511411524 is an apocalyptic number.

It is an amenable number.

42511411524 is an abundant number, since it is smaller than the sum of its proper divisors (57532507836).

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

42511411524 is a wasteful number, since it uses less digits than its factorization.

42511411524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64320 (or 64318 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The spelling of 42511411524 in words is "forty-two billion, five hundred eleven million, four hundred eleven thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 211 263 422 526 633 789 844 1052 1266 1578 2532 3156 55493 63839 110986 127678 166479 191517 221972 255356 332958 383034 665916 766068 13470029 16789657 26940058 33579314 40410087 50368971 53880116 67158628 80820174 100737942 161640348 201475884 3542617627 7085235254 10627852881 14170470508 21255705762 42511411524