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42219530528 = 257251892
BaseRepresentation
bin100111010100011110…
…101110100100100000
311000222100111100222212
4213110132232210200
51142431144434103
631221223021252
73023145042200
oct472436564440
9130870440885
1042219530528
11169a590819a
12822329a828
133c9ab61736
142087290400
1511717b07d8
hex9d47ae920

42219530528 has 54 divisors (see below), whose sum is σ = 96708901401. Its totient is φ = 18090597504.

The previous prime is 42219530513. The next prime is 42219530537. The reversal of 42219530528 is 82503591224.

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 38317279504 + 3902251024 = 195748^2 + 62468^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=145292.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8133758 + ... + 8138946.

Almost surely, 242219530528 is an apocalyptic number.

It is an amenable number.

42219530528 is an abundant number, since it is smaller than the sum of its proper divisors (54489370873).

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

42219530528 is an frugal number, since it uses more digits than its factorization.

42219530528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10402 (or 5198 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 42219530528 in words is "forty-two billion, two hundred nineteen million, five hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 5189 10378 20756 36323 41512 72646 83024 145292 166048 254261 290584 508522 581168 1017044 1162336 2034088 4068176 8136352 26925721 53851442 107702884 188480047 215405768 376960094 430811536 753920188 861623072 1319360329 1507840376 2638720658 3015680752 5277441316 6031361504 10554882632 21109765264 42219530528