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42524611712 = 2711216572
BaseRepresentation
bin100111100110101010…
…100001010010000000
311001202121120002200222
4213212222201102000
51144042300033322
631311402002212
73033541143542
oct474652412200
9131677502628
1042524611712
1117042042200
1282a94a6368
13401911b24b
1420b59c7692
15118d474e42
hex9e6aa1480

42524611712 has 72 divisors (see below), whose sum is σ = 93174916905. Its totient is φ = 19317703680.

The previous prime is 42524611687. The next prime is 42524611741. The reversal of 42524611712 is 21711642524.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 41072696896 + 1451914816 = 202664^2 + 38104^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=145816.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25662788 + ... + 25664444.

Almost surely, 242524611712 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 42524611712

42524611712 is an abundant number, since it is smaller than the sum of its proper divisors (50650305193).

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

42524611712 is an frugal number, since it uses more digits than its factorization.

42524611712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 1670 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The spelling of 42524611712 in words is "forty-two billion, five hundred twenty-four million, six hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1657 1936 3314 3872 6628 7744 13256 15488 18227 26512 36454 53024 72908 106048 145816 200497 212096 291632 400994 583264 801988 1166528 1603976 2333056 2745649 3207952 5491298 6415904 10982596 12831808 21965192 25663616 30202139 43930384 60404278 87860768 120808556 175721536 241617112 332223529 351443072 483234224 664447058 966468448 1328894116 1932936896 2657788232 3865873792 5315576464 10631152928 21262305856 42524611712