Search a number
-
+
42135064512 = 2631911148971
BaseRepresentation
bin100111001111011100…
…100000111111000000
311000202110120001101220
4213033130200333000
51142243034031022
631205004355040
73021101065452
oct471734407700
9130673501356
1042135064512
1116962166672
1281bab45a80
133c864c9648
142079d842d2
15116917885c
hex9cf720fc0

42135064512 has 56 divisors (see below), whose sum is σ = 112066132992. Its totient is φ = 13971475200.

The previous prime is 42135064507. The next prime is 42135064547. The reversal of 42135064512 is 21546053124.

42135064512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×421350645122 (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 7 ways as a sum of consecutive naturals, for example, 537814 + ... + 611157.

Almost surely, 242135064512 is an apocalyptic number.

It is an amenable number.

42135064512 is an abundant number, since it is smaller than the sum of its proper divisors (69931068480).

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

42135064512 is a wasteful number, since it uses less digits than its factorization.

42135064512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149177 (or 1149167 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 42135064512 in words is "forty-two billion, one hundred thirty-five million, sixty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 191 192 382 573 764 1146 1528 2292 3056 4584 6112 9168 12224 18336 36672 1148971 2297942 3446913 4595884 6893826 9191768 13787652 18383536 27575304 36767072 55150608 73534144 110301216 219453461 220602432 438906922 658360383 877813844 1316720766 1755627688 2633441532 3511255376 5266883064 7022510752 10533766128 14045021504 21067532256 42135064512