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1468013376 = 26317449759
BaseRepresentation
bin101011110000000…
…0001101101000000
310210022022210202210
41113200001231000
511001302412001
6401400342120
751243623244
oct12740015500
93708283683
101468013376
116937231a5
1234b774940
131a51a2c8b
14dcd78424
1588d2bdd6
hex57801b40

1468013376 has 56 divisors (see below), whose sum is σ = 4112605440. Its totient is φ = 460552192.

The previous prime is 1468013353. The next prime is 1468013377. The reversal of 1468013376 is 6733108641.

It is a super-2 number, since 2×14680133762 = 4310126544229834752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468013377) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 221616 + ... + 228143.

Almost surely, 21468013376 is an apocalyptic number.

1468013376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1468013376 is an abundant number, since it is smaller than the sum of its proper divisors (2644592064).

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

1468013376 is a wasteful number, since it uses less digits than its factorization.

1468013376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449791 (or 449781 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 1468013376 is about 38314.6626763175. The cubic root of 1468013376 is about 1136.5189224795.

The spelling of 1468013376 in words is "one billion, four hundred sixty-eight million, thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 449759 899518 1349277 1799036 2698554 3598072 5397108 7196144 7645903 10794216 14392288 15291806 21588432 22937709 28784576 30583612 43176864 45875418 61167224 86353728 91750836 122334448 183501672 244668896 367003344 489337792 734006688 1468013376