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14768232880 = 245717335617
BaseRepresentation
bin11011100000100000…
…10101100110110000
31102010020000221222011
431300100111212300
5220221131423010
610441234252304
71031653623352
oct156020254660
942106027864
1014768232880
116299311a45
122a41a27094
13151481b64b
14a015330d2
155b67d2a8a
hex3704159b0

14768232880 has 80 divisors (see below), whose sum is σ = 35297722944. Its totient is φ = 5744148480.

The previous prime is 14768232839. The next prime is 14768232883. The reversal of 14768232880 is 8823286741.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (14768232883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396832 + ... + 432448.

Almost surely, 214768232880 is an apocalyptic number.

14768232880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14768232880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17648861472).

14768232880 is an abundant number, since it is smaller than the sum of its proper divisors (20529490064).

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

14768232880 is a wasteful number, since it uses less digits than its factorization.

14768232880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35774 (or 35768 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 14768232880 in words is "fourteen billion, seven hundred sixty-eight million, two hundred thirty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 71 73 80 142 146 284 292 355 365 568 584 710 730 1136 1168 1420 1460 2840 2920 5183 5680 5840 10366 20732 25915 35617 41464 51830 71234 82928 103660 142468 178085 207320 284936 356170 414640 569872 712340 1424680 2528807 2600041 2849360 5057614 5200082 10115228 10400164 12644035 13000205 20230456 20800328 25288070 26000410 40460912 41600656 50576140 52000820 101152280 104001640 184602911 202304560 208003280 369205822 738411644 923014555 1476823288 1846029110 2953646576 3692058220 7384116440 14768232880