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10047821427 = 327792018851
BaseRepresentation
bin10010101101110010…
…11001011001110011
3221221020202012210100
421112321121121303
5131034220241202
64341011403443
7503665034010
oct112671313163
927836665710
1010047821427
114296807a56
121b44bb3583
13c41892087
146b4650707
153dc1a741c
hex256e59673

10047821427 has 24 divisors (see below), whose sum is σ = 16796848640. Its totient is φ = 5668930800.

The previous prime is 10047821369. The next prime is 10047821431. The reversal of 10047821427 is 72412874001.

It is not a de Polignac number, because 10047821427 - 212 = 10047817331 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10047821391 and 10047821400.

It is not an unprimeable number, because it can be changed into a prime (10047821447) 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 23 ways as a sum of consecutive naturals, for example, 1004449 + ... + 1014402.

Almost surely, 210047821427 is an apocalyptic number.

10047821427 is a deficient number, since it is larger than the sum of its proper divisors (6749027213).

10047821427 is a wasteful number, since it uses less digits than its factorization.

10047821427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018943 (or 2018940 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 10047821427 in words is "ten billion, forty-seven million, eight hundred twenty-one thousand, four hundred twenty-seven".

Divisors: 1 3 7 9 21 63 79 237 553 711 1659 4977 2018851 6056553 14131957 18169659 42395871 127187613 159489229 478467687 1116424603 1435403061 3349273809 10047821427