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42361300096 = 27893718513
BaseRepresentation
bin100111011100111011…
…100010010010000000
311001100020021000021121
4213130323202102000
51143223443100341
631243245402024
73026516052433
oct473473422200
9131306230247
1042361300096
1116a68938825
128262869314
133cc133b35b
14209c03581a
15117de664d1
hex9dcee2480

42361300096 has 32 divisors (see below), whose sum is σ = 85339896300. Its totient is φ = 20942659584.

The previous prime is 42361300057. The next prime is 42361300097. The reversal of 42361300096 is 69000316324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40858962496 + 1502337600 = 202136^2 + 38760^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (42361300097) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1847865 + ... + 1870648.

Almost surely, 242361300096 is an apocalyptic number.

It is an amenable number.

42361300096 is an abundant number, since it is smaller than the sum of its proper divisors (42978596204).

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

42361300096 is an equidigital number, since it uses as much as digits as its factorization.

42361300096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718616 (or 3718604 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 42361300096 in words is "forty-two billion, three hundred sixty-one million, three hundred thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 2848 5696 11392 3718513 7437026 14874052 29748104 59496208 118992416 237984832 330947657 475969664 661895314 1323790628 2647581256 5295162512 10590325024 21180650048 42361300096