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10283948892 = 22347219103331
BaseRepresentation
bin10011001001111100…
…01001101101011100
3222112201001201210000
421210332021231130
5132030142331032
64420244414300
7512563060200
oct114476115534
928481051700
1010283948892
1143a8026018
121bb00a7390
13c7b788379
146d7b58b00
15402c9ae7c
hex264f89b5c

10283948892 has 360 divisors, whose sum is σ = 33339546240. Its totient is φ = 2748271680.

The previous prime is 10283948891. The next prime is 10283948933. The reversal of 10283948892 is 29884938201.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10283948891) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31069167 + ... + 31069497.

Almost surely, 210283948892 is an apocalyptic number.

10283948892 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 10283948892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16669773120).

10283948892 is an abundant number, since it is smaller than the sum of its proper divisors (23055597348).

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

10283948892 is a wasteful number, since it uses less digits than its factorization.

10283948892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 10283948892 in words is "ten billion, two hundred eighty-three million, nine hundred forty-eight thousand, eight hundred ninety-two".