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14563005680 = 245239778101
BaseRepresentation
bin11011001000000010…
…11101010011110000
31101120220212100011202
431210001131103300
5214311112140210
610405023430332
71023612335336
oct154401352360
941526770152
1014563005680
1161a3489793
1229a51553a8
1314b1154032
149c218db56
155a37949a5
hex36405d4f0

14563005680 has 80 divisors (see below), whose sum is σ = 35371646784. Its totient is φ = 5565542400.

The previous prime is 14563005671. The next prime is 14563005733. The reversal of 14563005680 is 8650036541.

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

It is a super-2 number, since 2×145630056802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 1793630 + ... + 1801730.

Almost surely, 214563005680 is an apocalyptic number.

14563005680 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 14563005680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17685823392).

14563005680 is an abundant number, since it is smaller than the sum of its proper divisors (20808641104).

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

14563005680 is a wasteful number, since it uses less digits than its factorization.

14563005680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9114 (or 9108 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 14563005680 in words is "fourteen billion, five hundred sixty-three million, five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 977 1840 1954 3908 4885 7816 8101 9770 15632 16202 19540 22471 32404 39080 40505 44942 64808 78160 81010 89884 112355 129616 162020 179768 186323 224710 324040 359536 372646 449420 648080 745292 898840 931615 1490584 1797680 1863230 2981168 3726460 7452920 7914677 14905840 15829354 31658708 39573385 63317416 79146770 126634832 158293540 182037571 316587080 364075142 633174160 728150284 910187855 1456300568 1820375710 2912601136 3640751420 7281502840 14563005680