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10033012440 = 233251113991811
BaseRepresentation
bin10010101100000001…
…11001111011011000
3221220012212211200100
421112000321323120
5131021422344230
64335322135400
7503425125063
oct112600717330
927805784610
1010033012440
114289412820
121b40051560
13c3b7a8669
146b26b78da
153dac2e660
hex256039ed8

10033012440 has 192 divisors, whose sum is σ = 35616672000. Its totient is φ = 2429164800.

The previous prime is 10033012433. The next prime is 10033012469. The reversal of 10033012440 is 4421033001.

It is a super-2 number, since 2×100330124402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5539135 + ... + 5540945.

It is an arithmetic number, because the mean of its divisors is an integer number (185503500).

Almost surely, 210033012440 is an apocalyptic number.

10033012440 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 10033012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17808336000).

10033012440 is an abundant number, since it is smaller than the sum of its proper divisors (25583659560).

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

10033012440 is a wasteful number, since it uses less digits than its factorization.

10033012440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10033012440 its reverse (4421033001), we get a palindrome (14454045441).

The spelling of 10033012440 in words is "ten billion, thirty-three million, twelve thousand, four hundred forty".