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14769112416 = 2531071738311
BaseRepresentation
bin11011100000100111…
…01100010101100000
31102010021200122110120
431300103230111200
5220221343044131
610441305200240
71031664245532
oct156023542540
942107618416
1014769112416
116299862833
122a42190080
131514a68a96
14a016c1852
155b6908496
hex3704ec560

14769112416 has 96 divisors (see below), whose sum is σ = 39362174208. Its totient is φ = 4848253440.

The previous prime is 14769112403. The next prime is 14769112481. The reversal of 14769112416 is 61421196741.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1772901 + ... + 1781211.

It is an arithmetic number, because the mean of its divisors is an integer number (410022648).

Almost surely, 214769112416 is an apocalyptic number.

14769112416 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 14769112416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19681087104).

14769112416 is an abundant number, since it is smaller than the sum of its proper divisors (24593061792).

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

14769112416 is a wasteful number, since it uses less digits than its factorization.

14769112416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8604 (or 8596 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The spelling of 14769112416 in words is "fourteen billion, seven hundred sixty-nine million, one hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 173 214 321 346 428 519 642 692 856 1038 1284 1384 1712 2076 2568 2768 3424 4152 5136 5536 8304 8311 10272 16608 16622 18511 24933 33244 37022 49866 55533 66488 74044 99732 111066 132976 148088 199464 222132 265952 296176 398928 444264 592352 797856 888528 889277 1437803 1777056 1778554 2667831 2875606 3557108 4313409 5335662 5751212 7114216 8626818 10671324 11502424 14228432 17253636 21342648 23004848 28456864 34507272 42685296 46009696 69014544 85370592 138029088 153844921 307689842 461534763 615379684 923069526 1230759368 1846139052 2461518736 3692278104 4923037472 7384556208 14769112416