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1006533431552 = 2811232493977
BaseRepresentation
bin11101010010110100001…
…00010101000100000000
310120020001001020010200102
432221122010111010000
5112442340024302202
62050221200341532
7132501560001305
oct16513204250400
93506031203612
101006533431552
11358960977800
121430a60148a8
1373bb9a2357c
1436a060310ac
151b2b011cd02
hexea5a115100

1006533431552 has 54 divisors (see below), whose sum is σ = 2208388226814. Its totient is φ = 457515182080.

The previous prime is 1006533431549. The next prime is 1006533431593. The reversal of 1006533431552 is 2551343356001.

It can be written as a sum of positive squares in only one way, i.e., 1006057144576 + 476286976 = 1003024^2 + 21824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16216013 + ... + 16277964.

Almost surely, 21006533431552 is an apocalyptic number.

It is an amenable number.

1006533431552 is an abundant number, since it is smaller than the sum of its proper divisors (1201854795262).

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

1006533431552 is an equidigital number, since it uses as much as digits as its factorization.

1006533431552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32494015 (or 32493990 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 38.

Adding to 1006533431552 its reverse (2551343356001), we get a palindrome (3557876787553).

The spelling of 1006533431552 in words is "one trillion, six billion, five hundred thirty-three million, four hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 15488 30976 32493977 64987954 129975908 259951816 357433747 519903632 714867494 1039807264 1429734988 2079614528 2859469976 3931771217 4159229056 5718939952 7863542434 8318458112 11437879904 15727084868 22875759808 31454169736 45751519616 62908339472 91503039232 125816678944 251633357888 503266715776 1006533431552