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14680135536 = 24311157177091
BaseRepresentation
bin11011010110000000…
…10001011101110000
31101220002021011010120
431223000101131300
5220031103314121
610424410130240
71026534043653
oct155300213560
941802234116
1014680135536
116253610120
122a18420980
1314cc4b4741
149d395d89a
155adbcebc6
hex36b011770

14680135536 has 80 divisors (see below), whose sum is σ = 41635037568. Its totient is φ = 4420166400.

The previous prime is 14680135507. The next prime is 14680135541. The reversal of 14680135536 is 63553108641.

It is a super-3 number, since 3×146801355363 (a number of 31 digits) contains 333 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, 5650 + ... + 171441.

Almost surely, 214680135536 is an apocalyptic number.

14680135536 is a gapful number since it is divisible by the number (16) 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 14680135536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20817518784).

14680135536 is an abundant number, since it is smaller than the sum of its proper divisors (26954902032).

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

14680135536 is a wasteful number, since it uses less digits than its factorization.

14680135536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177270 (or 177264 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 14680135536 in words is "fourteen billion, six hundred eighty million, one hundred thirty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 157 176 264 314 471 528 628 942 1256 1727 1884 2512 3454 3768 5181 6908 7536 10362 13816 20724 27632 41448 82896 177091 354182 531273 708364 1062546 1416728 1948001 2125092 2833456 3896002 4250184 5844003 7792004 8500368 11688006 15584008 23376012 27803287 31168016 46752024 55606574 83409861 93504048 111213148 166819722 222426296 305836157 333639444 444852592 611672314 667278888 917508471 1223344628 1334557776 1835016942 2446689256 3670033884 4893378512 7340067768 14680135536