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42588459121 = 136153705497
BaseRepresentation
bin100111101010011110…
…000101000001110001
311001221001200212212211
4213222132011001301
51144210121142441
631322002252121
73035244633565
oct475236050161
9131831625784
1042588459121
111707509075a
128306957041
134029414490
1420c02876a5
151193d87a81
hex9ea785071

42588459121 has 8 divisors (see below), whose sum is σ = 46616372264. Its totient is φ = 38667957120.

The previous prime is 42588459107. The next prime is 42588459127. The reversal of 42588459121 is 12195488524.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 438316096 + 42150143025 = 20936^2 + 205305^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42588459121 - 221 = 42586361969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42588459127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26851956 + ... + 26853541.

It is an arithmetic number, because the mean of its divisors is an integer number (5827046533).

Almost surely, 242588459121 is an apocalyptic number.

It is an amenable number.

42588459121 is a deficient number, since it is larger than the sum of its proper divisors (4027913143).

42588459121 is a wasteful number, since it uses less digits than its factorization.

42588459121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53705571.

The product of its digits is 921600, while the sum is 49.

The spelling of 42588459121 in words is "forty-two billion, five hundred eighty-eight million, four hundred fifty-nine thousand, one hundred twenty-one".

Divisors: 1 13 61 793 53705497 698171461 3276035317 42588459121