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10909430532 = 223271113973121
BaseRepresentation
bin10100010100100000…
…01011001100000100
31001011022000111021200
422022100023030010
5134320303234112
65002310542500
7534226425630
oct121220131404
931138014250
1010909430532
1146990a86a0
122145667a30
13104b236450
14756c55dc0
1543cb4dcdc
hex28a40b304

10909430532 has 288 divisors, whose sum is σ = 37419642624. Its totient is φ = 2587852800.

The previous prime is 10909430527. The next prime is 10909430537. The reversal of 10909430532 is 23503490901.

It is a happy number.

10909430532 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 94 + 30 + 532 = 666.

It is an interprime number because it is at equal distance from previous prime (10909430527) and next prime (10909430537).

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

It is not an unprimeable number, because it can be changed into a prime (10909430537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3493932 + ... + 3497052.

Almost surely, 210909430532 is an apocalyptic number.

10909430532 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 10909430532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18709821312).

10909430532 is an abundant number, since it is smaller than the sum of its proper divisors (26510212092).

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

10909430532 is a wasteful number, since it uses less digits than its factorization.

10909430532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 10909430532 in words is "ten billion, nine hundred nine million, four hundred thirty thousand, five hundred thirty-two".