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16303969969 = 72172292372
BaseRepresentation
bin11110010111100101…
…01101011010110001
31120002020210111012121
433023302231122301
5231342304014334
611253454354241
71115012313100
oct171362553261
946066714177
1016303969969
116a07190a51
1231b01bb981
1316caa44011
14b0949a037
1565653adb4
hex3cbcad6b1

16303969969 has 81 divisors (see below), whose sum is σ = 21444972003. Its totient is φ = 12356015616.

The previous prime is 16303969963. The next prime is 16303969987. The reversal of 16303969969 is 96996930361.

The square root of 16303969969 is 127687.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1787569 + 16302182400 = 1337^2 + 127680^2 .

It is not a de Polignac number, because 16303969969 - 215 = 16303937201 is a prime.

It is a super-2 number, since 2×163039699692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16303969963) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 440647819 + ... + 440647855.

Almost surely, 216303969969 is an apocalyptic number.

16303969969 is the 127687-th square number.

16303969969 is the 63844-th centered octagonal number.

It is an amenable number.

16303969969 is a deficient number, since it is larger than the sum of its proper divisors (5141002034).

16303969969 is an equidigital number, since it uses as much as digits as its factorization.

16303969969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 12754584, while the sum is 61.

The spelling of 16303969969 in words is "sixteen billion, three hundred three million, nine hundred sixty-nine thousand, nine hundred sixty-nine".

Divisors: 1 7 17 29 37 49 119 203 259 289 493 629 833 841 1073 1369 1421 1813 2023 3451 4403 5887 7511 8381 9583 10693 14161 14297 18241 23273 24157 30821 31117 39701 41209 52577 58667 67081 74851 100079 127687 162911 217819 243049 277907 310097 395641 410669 523957 528989 674917 700553 893809 1140377 1151329 1524733 1701343 1945349 2170679 2769487 3702923 4724419 8059303 8992813 11473589 11909401 15194753 19386409 19572593 25920461 33070933 56415121 62949691 80315123 137008151 332734081 440647837 562205861 959057057 2329138567 16303969969