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10483799040 = 21032511133743
BaseRepresentation
bin10011100001110001…
…00001010000000000
31000001122010011122100
421300320201100000
5132432323032130
64452144110400
7520540551531
oct116070412000
930048104570
1010483799040
11449a916430
122047005400
13cb0cbc3b0
147164dc688
154155c5c60
hex270e21400

10483799040 has 1056 divisors, whose sum is σ = 44849540736. Its totient is φ = 2229534720.

The previous prime is 10483799021. The next prime is 10483799041. The reversal of 10483799040 is 4099738401.

10483799040 is a `hidden beast` number, since 10 + 483 + 79 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×104837990402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10483799041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243809259 + ... + 243809301.

It is an arithmetic number, because the mean of its divisors is an integer number (42471156).

Almost surely, 210483799040 is an apocalyptic number.

10483799040 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 10483799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22424770368).

10483799040 is an abundant number, since it is smaller than the sum of its proper divisors (34365741696).

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

10483799040 is a wasteful number, since it uses less digits than its factorization.

10483799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10483799040 in words is "ten billion, four hundred eighty-three million, seven hundred ninety-nine thousand, forty".