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1005534500520 = 2335114161730113
BaseRepresentation
bin11101010000111101000…
…01101101011010101000
310120010110102120011220210
432220132201231122220
5112433313313004040
62045534114021120
7132435040142034
oct16503641553250
93503412504823
101005534500520
11358499014070
12142a675777a0
1373a8aa9bb14
143694d4c11c4
151b25259d480
hexea1e86d6a8

1005534500520 has 256 divisors, whose sum is σ = 3376680410880. Its totient is φ = 237427097600.

The previous prime is 1005534500501. The next prime is 1005534500527. The reversal of 1005534500520 is 250054355001.

It is a happy number.

1005534500520 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 2×10055345005202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1005534500527) 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, 33376984 + ... + 33407096.

It is an arithmetic number, because the mean of its divisors is an integer number (13190157855).

Almost surely, 21005534500520 is an apocalyptic number.

1005534500520 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 1005534500520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688340205440).

1005534500520 is an abundant number, since it is smaller than the sum of its proper divisors (2371145910360).

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

1005534500520 is a wasteful number, since it uses less digits than its factorization.

1005534500520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30796 (or 30792 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

Adding to 1005534500520 its reverse (250054355001), we get a palindrome (1255588855521).

The spelling of 1005534500520 in words is "one trillion, five billion, five hundred thirty-four million, five hundred thousand, five hundred twenty".