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10930049280 = 28345472243
BaseRepresentation
bin10100010110111101…
…10101000100000000
31001012201211000220000
422023132311010000
5134341043034110
65004324520000
7534566612613
oct121336650400
931181730800
1010930049280
1146a9800887
122150550000
1310525a53a7
147598a217a
1543e8731c0
hex28b7b5100

10930049280 has 360 divisors, whose sum is σ = 39959644032. Its totient is φ = 2851393536.

The previous prime is 10930049267. The next prime is 10930049281. The reversal of 10930049280 is 8294003901.

10930049280 is a `hidden beast` number, since 1 + 0 + 93 + 0 + 0 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (10930049281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4871839 + ... + 4874081.

Almost surely, 210930049280 is an apocalyptic number.

10930049280 is a gapful number since it is divisible by the number (10) 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 10930049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19979822016).

10930049280 is an abundant number, since it is smaller than the sum of its proper divisors (29029594752).

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

10930049280 is an equidigital number, since it uses as much as digits as its factorization.

10930049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10930049280 in words is "ten billion, nine hundred thirty million, forty-nine thousand, two hundred eighty".