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10020469140 = 223251131592767
BaseRepresentation
bin10010101010100010…
…00011100110010100
3221212100021120111200
421111101003212110
5131010220003030
64334153232500
7503213403513
oct112521034624
927770246450
1010020469140
114282325860
121b37a02730
13c390062a6
146b0b7067a
153d9aa2d60
hex255443994

10020469140 has 288 divisors, whose sum is σ = 34820997120. Its totient is φ = 2310163200.

The previous prime is 10020469127. The next prime is 10020469141. The reversal of 10020469140 is 4196402001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020469141) 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, 3620037 + ... + 3622803.

It is an arithmetic number, because the mean of its divisors is an integer number (120906240).

Almost surely, 210020469140 is an apocalyptic number.

10020469140 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 10020469140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410498560).

10020469140 is an abundant number, since it is smaller than the sum of its proper divisors (24800527980).

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

10020469140 is a wasteful number, since it uses less digits than its factorization.

10020469140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10020469140 in words is "ten billion, twenty million, four hundred sixty-nine thousand, one hundred forty".