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10914439536 = 243272111329373
BaseRepresentation
bin10100010101000110…
…10010000101110000
31001011122102222100100
422022203102011300
5134323044031121
65003010152400
7534320130300
oct121243220560
931148388310
1010914439536
1146a0a09a70
122147282700
13104c29b360
1475779b600
1543d2dd026
hex28a8d2170

10914439536 has 720 divisors, whose sum is σ = 43299416160. Its totient is φ = 2519838720.

The previous prime is 10914439531. The next prime is 10914439537. The reversal of 10914439536 is 63593441901.

10914439536 is a `hidden beast` number, since 1 + 0 + 91 + 443 + 95 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10914439491 and 10914439500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10914439531) 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, 29261046 + ... + 29261418.

It is an arithmetic number, because the mean of its divisors is an integer number (60138078).

Almost surely, 210914439536 is an apocalyptic number.

10914439536 is a gapful number since it is divisible by the number (16) 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 10914439536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21649708080).

10914439536 is an abundant number, since it is smaller than the sum of its proper divisors (32384976624).

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

10914439536 is a wasteful number, since it uses less digits than its factorization.

10914439536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 10914439536 in words is "ten billion, nine hundred fourteen million, four hundred thirty-nine thousand, five hundred thirty-six".