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42725024676 = 22321566175781
BaseRepresentation
bin100111110010100111…
…000010001110100100
311002021120200010121100
4213302213002032210
51200000101242201
631343321320100
73041523501105
oct476247021644
9132246603540
1042725024676
1117135187454
128344636030
13404b7bb4b9
1420d44763ac
1511a0d61886
hex9f29c23a4

42725024676 has 36 divisors (see below), whose sum is σ = 108007689244. Its totient is φ = 14240577600.

The previous prime is 42725024669. The next prime is 42725024707. The reversal of 42725024676 is 67642052724.

It is a happy number.

42725024676 is a `hidden beast` number, since 4 + 2 + 72 + 502 + 4 + 6 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28995278400 + 13729746276 = 170280^2 + 117174^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 525906 + ... + 601686.

Almost surely, 242725024676 is an apocalyptic number.

It is an amenable number.

42725024676 is an abundant number, since it is smaller than the sum of its proper divisors (65282664568).

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

42725024676 is a wasteful number, since it uses less digits than its factorization.

42725024676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91452 (or 91447 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 42725024676 in words is "forty-two billion, seven hundred twenty-five million, twenty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 15661 31322 46983 62644 75781 93966 140949 151562 187932 227343 281898 303124 454686 563796 682029 909372 1364058 2728116 1186806241 2373612482 3560418723 4747224964 7120837446 10681256169 14241674892 21362512338 42725024676