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10533073248 = 253317977393
BaseRepresentation
bin10011100111101000…
…11111000101100000
31000012001211120011000
421303310133011200
5133032431320443
64501104152000
7522006434235
oct116364370540
930161746130
1010533073248
114515710915
12205b608600
13cbb282329
1471cc8778c
15419aaa8d3
hex273d1f160

10533073248 has 192 divisors, whose sum is σ = 32868400320. Its totient is φ = 3269984256.

The previous prime is 10533073219. The next prime is 10533073253. The reversal of 10533073248 is 84237033501.

10533073248 is a `hidden beast` number, since 10 + 5 + 330 + 73 + 248 = 666.

10533073248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105330732482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1421040 + ... + 1428432.

It is an arithmetic number, because the mean of its divisors is an integer number (171189585).

Almost surely, 210533073248 is an apocalyptic number.

10533073248 is a gapful number since it is divisible by the number (18) 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 10533073248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16434200160).

10533073248 is an abundant number, since it is smaller than the sum of its proper divisors (22335327072).

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

10533073248 is a wasteful number, since it uses less digits than its factorization.

10533073248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7526 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10533073248 in words is "ten billion, five hundred thirty-three million, seventy-three thousand, two hundred forty-eight".