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7148144268 = 223381181611
BaseRepresentation
bin1101010100001000…
…00000011010001100
3200110011111100112000
412222010000122030
5104114411104033
63141145312300
7342065136516
oct65204003214
920404440460
107148144268
113038a39651
121475a95690
1389bc05285
144bb4c0bb6
152bc82da13
hex1aa10068c

7148144268 has 48 divisors (see below), whose sum is σ = 18555304320. Its totient is φ = 2379747600.

The previous prime is 7148144251. The next prime is 7148144329. The reversal of 7148144268 is 8624418417.

7148144268 is a `hidden beast` number, since 7 + 148 + 1 + 442 + 68 = 666.

It is a super-2 number, since 2×71481442682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46783 + ... + 128393.

It is an arithmetic number, because the mean of its divisors is an integer number (386568840).

Almost surely, 27148144268 is an apocalyptic number.

It is an amenable number.

7148144268 is an abundant number, since it is smaller than the sum of its proper divisors (11407160052).

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

7148144268 is a wasteful number, since it uses less digits than its factorization.

7148144268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82435 (or 82427 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 7148144268 is about 84546.6987409917. The cubic root of 7148144268 is about 1926.3318398343.

The spelling of 7148144268 in words is "seven billion, one hundred forty-eight million, one hundred forty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 811 1622 2433 3244 4866 7299 9732 14598 21897 29196 43794 81611 87588 163222 244833 326444 489666 734499 979332 1468998 2203497 2937996 4406994 8813988 66186521 132373042 198559563 264746084 397119126 595678689 794238252 1191357378 1787036067 2382714756 3574072134 7148144268