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10850469120 = 283255411741
BaseRepresentation
bin10100001101011110…
…10000010100000000
31001000012001221102200
422012233100110000
5134210210002440
64552403113200
7532612315521
oct120657202400
931005057380
1010850469120
114668897057
122129972800
13103bc6113a
1474d0a8848
154378a3c30
hex286bd0500

10850469120 has 216 divisors, whose sum is σ = 37632488712. Its totient is φ = 2886451200.

The previous prime is 10850469109. The next prime is 10850469127. The reversal of 10850469120 is 2196405801.

It can be written as a sum of positive squares in 4 ways, for example, as 120824064 + 10729645056 = 10992^2 + 103584^2 .

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 (10850469127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6231450 + ... + 6233190.

Almost surely, 210850469120 is an apocalyptic number.

10850469120 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 10850469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18816244356).

10850469120 is an abundant number, since it is smaller than the sum of its proper divisors (26782019592).

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

10850469120 is a wasteful number, since it uses less digits than its factorization.

10850469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10850469120 in words is "ten billion, eight hundred fifty million, four hundred sixty-nine thousand, one hundred twenty".