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103290606432 = 2535131397351
BaseRepresentation
bin110000000110010011…
…0011001001101100000
3100212121111111110200000
41200030212121031200
53143014343401212
6115241232100000
710314431445156
oct1401446311540
9325544443600
10103290606432
113a894944452
1218027994600
139981483240
144ddc0b33d6
152a480841dc
hex180c999360

103290606432 has 288 divisors, whose sum is σ = 330448285440. Its totient is φ = 31548787200.

The previous prime is 103290606409. The next prime is 103290606439. The reversal of 103290606432 is 234606092301.

103290606432 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 9 + 0 + 6 + 0 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1032906064323 (a number of 34 digits) contains 333 as substring.

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 (103290606439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14047557 + ... + 14054907.

It is an arithmetic number, because the mean of its divisors is an integer number (1147389880).

Almost surely, 2103290606432 is an apocalyptic number.

103290606432 is a gapful number since it is divisible by the number (12) 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 103290606432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165224142720).

103290606432 is an abundant number, since it is smaller than the sum of its proper divisors (227157679008).

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

103290606432 is a wasteful number, since it uses less digits than its factorization.

103290606432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7528 (or 7508 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 103290606432 its reverse (234606092301), we get a palindrome (337896698733).

The spelling of 103290606432 in words is "one hundred three billion, two hundred ninety million, six hundred six thousand, four hundred thirty-two".