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42523562064 = 24343131157271
BaseRepresentation
bin100111100110100110…
…100001000001010000
311001202112120202212010
4213212212201001100
51144042012441224
631311323302520
73033526212414
oct474646410120
9131675522763
1042523562064
1117041495625
1282a907aa40
134018b41559
1420b57d2d44
15118d318e29
hex9e69a1050

42523562064 has 80 divisors (see below), whose sum is σ = 113266036224. Its totient is φ = 13739107200.

The previous prime is 42523561987. The next prime is 42523562071. The reversal of 42523562064 is 46026532524.

It is a super-2 number, since 2×425235620642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191749 + ... + 349019.

Almost surely, 242523562064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42523562064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56633018112).

42523562064 is an abundant number, since it is smaller than the sum of its proper divisors (70742474160).

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

42523562064 is a wasteful number, since it uses less digits than its factorization.

42523562064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157456 (or 157450 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 42523562064 in words is "forty-two billion, five hundred twenty-three million, five hundred sixty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 131 172 258 262 344 393 516 524 688 786 1032 1048 1572 2064 2096 3144 5633 6288 11266 16899 22532 33798 45064 67596 90128 135192 157271 270384 314542 471813 629084 943626 1258168 1887252 2516336 3774504 6762653 7549008 13525306 20287959 20602501 27050612 40575918 41205002 54101224 61807503 81151836 82410004 108202448 123615006 162303672 164820008 247230012 324607344 329640016 494460024 885907543 988920048 1771815086 2657722629 3543630172 5315445258 7087260344 10630890516 14174520688 21261781032 42523562064