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10530076032 = 273371931739
BaseRepresentation
bin10011100111010010…
…00011010110000000
31000011212012021202000
421303221003112000
5133031144413112
64500520024000
7521642112060
oct116351032600
930155167660
1010530076032
114513a53a83
12205a602000
13cba773028
1471c7073a0
154196b77dc
hex273a43580

10530076032 has 512 divisors, whose sum is σ = 38645760000. Its totient is φ = 2754570240.

The previous prime is 10530076031. The next prime is 10530076049. The reversal of 10530076032 is 23067003501.

It is a happy number.

10530076032 is a `hidden beast` number, since 1 + 0 + 53 + 0 + 0 + 7 + 603 + 2 = 666.

It is a super-2 number, since 2×105300760322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10530075987 and 10530076005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10530076031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14248719 + ... + 14249457.

It is an arithmetic number, because the mean of its divisors is an integer number (75480000).

Almost surely, 210530076032 is an apocalyptic number.

10530076032 is a gapful number since it is divisible by the number (12) 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 10530076032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19322880000).

10530076032 is an abundant number, since it is smaller than the sum of its proper divisors (28115683968).

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

10530076032 is a wasteful number, since it uses less digits than its factorization.

10530076032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

Adding to 10530076032 its reverse (23067003501), we get a palindrome (33597079533).

The spelling of 10530076032 in words is "ten billion, five hundred thirty million, seventy-six thousand, thirty-two".