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35420132352 = 2103115319777
BaseRepresentation
bin100000111111001101…
…000101010000000000
310101102111020011011210
4200333031011100000
51040020023213402
624134412210120
72362513104663
oct407715052000
9111374204153
1035420132352
1114026817760
126a46169940
1334562939c7
141a002316da
15dc48be06c
hex83f345400

35420132352 has 176 divisors, whose sum is σ = 104938587072. Its totient is φ = 10530324480.

The previous prime is 35420132323. The next prime is 35420132381. The reversal of 35420132352 is 25323102453.

It is an interprime number because it is at equal distance from previous prime (35420132323) and next prime (35420132381).

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-3 number, since 3×354201323523 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1781088 + ... + 1800864.

It is an arithmetic number, because the mean of its divisors is an integer number (596241972).

Almost surely, 235420132352 is an apocalyptic number.

35420132352 is a gapful number since it is divisible by the number (32) 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 35420132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52469293536).

35420132352 is an abundant number, since it is smaller than the sum of its proper divisors (69518454720).

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

35420132352 is a wasteful number, since it uses less digits than its factorization.

35420132352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19864 (or 19846 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 35420132352 in words is "thirty-five billion, four hundred twenty million, one hundred thirty-two thousand, three hundred fifty-two".