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1066580004 = 2237109311617
BaseRepresentation
bin111111100100101…
…011100000100100
32202022221212201010
4333210223200210
54141021030004
6253500302220
735300531460
oct7744534044
92668855633
101066580004
114a8069386
12259241970
1313cc7c139
14a191d4a0
1563983a89
hex3f92b824

1066580004 has 48 divisors (see below), whose sum is σ = 2847060608. Its totient is φ = 304432128.

The previous prime is 1066579981. The next prime is 1066580057. The reversal of 1066580004 is 4000856601.

1066580004 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 2×10665800042 = 2275185809865280032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86004 + ... + 97620.

Almost surely, 21066580004 is an apocalyptic number.

1066580004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1066580004 is an abundant number, since it is smaller than the sum of its proper divisors (1780480604).

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

1066580004 is a wasteful number, since it uses less digits than its factorization.

1066580004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12724 (or 12722 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1066580004 is about 32658.5364644529. The cubic root of 1066580004 is about 1021.7182381008.

The spelling of 1066580004 in words is "one billion, sixty-six million, five hundred eighty thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1093 2186 3279 4372 6558 7651 11617 13116 15302 22953 23234 30604 34851 45906 46468 69702 81319 91812 139404 162638 243957 325276 487914 975828 12697381 25394762 38092143 50789524 76184286 88881667 152368572 177763334 266645001 355526668 533290002 1066580004