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262530006331 = 29109713216247
BaseRepresentation
bin1111010010000000000…
…0011111110100111011
3221002122011112010110211
43310200000133310323
513300130140200311
6320334333051551
724652511143315
oct3644000376473
9832564463424
10262530006331
11a137a38748a
1242a68926bb7
131b9aac83618
14c9c69967b5
156c67d7d821
hex3d2001fd3b

262530006331 has 16 divisors (see below), whose sum is σ = 272079656640. Its totient is φ = 253013967360.

The previous prime is 262530006329. The next prime is 262530006353. The reversal of 262530006331 is 133600035262.

It is a happy number.

262530006331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 262530006331 - 21 = 262530006329 is a prime.

It is a super-2 number, since 2×2625300063312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 262530006293 and 262530006302.

It is not an unprimeable number, because it can be changed into a prime (262530006131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42021850 + ... + 42028096.

It is an arithmetic number, because the mean of its divisors is an integer number (17004978540).

Almost surely, 2262530006331 is an apocalyptic number.

262530006331 is a deficient number, since it is larger than the sum of its proper divisors (9549650309).

262530006331 is a wasteful number, since it uses less digits than its factorization.

262530006331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8694.

The product of its (nonzero) digits is 19440, while the sum is 31.

The spelling of 262530006331 in words is "two hundred sixty-two billion, five hundred thirty million, six thousand, three hundred thirty-one".

Divisors: 1 29 1097 1321 6247 31813 38309 181163 1449137 6852959 8252287 42024973 198735811 239316323 9052758839 262530006331