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10790228736 = 283274315559
BaseRepresentation
bin10100000110010010…
…11101001100000000
31000211222201102011100
422003021131030000
5134044244304421
64542412014400
7531251300550
oct120311351400
930758642140
1010790228736
114637891611
122111761400
13102c62b941
147450a7160
15432454c26
hex28325d300

10790228736 has 216 divisors, whose sum is σ = 36384508160. Its totient is φ = 3011033088.

The previous prime is 10790228731. The next prime is 10790228749. The reversal of 10790228736 is 63782209701.

It is a junction number, because it is equal to n+sod(n) for n = 10790228691 and 10790228700.

It is not an unprimeable number, because it can be changed into a prime (10790228731) 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, 685725 + ... + 701283.

Almost surely, 210790228736 is an apocalyptic number.

10790228736 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 10790228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18192254080).

10790228736 is an abundant number, since it is smaller than the sum of its proper divisors (25594279424).

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

10790228736 is a wasteful number, since it uses less digits than its factorization.

10790228736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15631 (or 15614 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 10790228736 in words is "ten billion, seven hundred ninety million, two hundred twenty-eight thousand, seven hundred thirty-six".