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35242542720 = 27385711109
BaseRepresentation
bin100000110100100111…
…101000011010000000
310100222010001200000000
4200310213220122000
51034134042331340
624105030000000
72355225445650
oct406447503200
9110863050000
1035242542720
1113a45550a70
1269b67a6000
133428554c98
1419c4804360
15db3eded30
hex8349e8680

35242542720 has 1152 divisors, whose sum is σ = 158999068800. Its totient is φ = 7255941120.

The previous prime is 35242542719. The next prime is 35242542721. The reversal of 35242542720 is 2724524253.

35242542720 is a `hidden beast` number, since 3 + 5 + 2 + 42 + 542 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (35242542719) and next prime (35242542721).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35242542721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 323326026 + ... + 323326134.

It is an arithmetic number, because the mean of its divisors is an integer number (138020025).

Almost surely, 235242542720 is an apocalyptic number.

35242542720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35242542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79499534400).

35242542720 is an abundant number, since it is smaller than the sum of its proper divisors (123756526080).

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

35242542720 is an equidigital number, since it uses as much as digits as its factorization.

35242542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 35242542720 in words is "thirty-five billion, two hundred forty-two million, five hundred forty-two thousand, seven hundred twenty".