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118299709705489 = 13231213721972
BaseRepresentation
bin11010111001011111001100…
…001011001000110100010001
3120111212100020011121201111221
4122321133030023020310101
5111001210301141033424
61055334045243005041
733626605042143664
oct3271371413106421
9514770204551457
10118299709705489
113476a697075104
1211327339509781
1351017cb813c00
14212da44d576db
15da23a85e39e4
hex6b97cc2c8d11

118299709705489 has 81 divisors (see below), whose sum is σ = 134018734514931. Its totient is φ = 104373277182720.

The previous prime is 118299709705439. The next prime is 118299709705493. The reversal of 118299709705489 is 984507907992811.

The square root of 118299709705489 is 10876567.

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 21953863395025 + 96345846310464 = 4685495^2 + 9815592^2 .

It is not a de Polignac number, because 118299709705489 - 215 = 118299709672721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (118299709705439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 600506140539 + ... + 600506140735.

Almost surely, 2118299709705489 is an apocalyptic number.

118299709705489 is the 10876567-th square number.

118299709705489 is the 5438284-th centered octagonal number.

It is an amenable number.

118299709705489 is a deficient number, since it is larger than the sum of its proper divisors (15719024809442).

118299709705489 is an frugal number, since it uses more digits than its factorization.

118299709705489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 79.

The spelling of 118299709705489 in words is "one hundred eighteen trillion, two hundred ninety-nine billion, seven hundred nine million, seven hundred five thousand, four hundred eighty-nine".

Divisors: 1 13 31 137 169 197 403 961 1781 2561 4247 5239 6107 12493 18769 23153 26989 33293 38809 55211 79391 131657 162409 189317 243997 350857 504517 581839 717743 836659 1032083 1203079 1711541 2461121 3171961 3697493 4561141 5316833 6558721 7563907 10876567 15640027 18037009 22250033 25936429 31994573 37295449 48067409 69118829 98330791 114622283 141395371 164821823 203320351 234481117 337173577 484840837 624876317 728406121 898544777 1490089679 2142683699 3048254521 3553290773 4383256501 5109476513 6302930881 9469279573 19371165827 22580589751 27854888087 46192780049 66423194669 123100634449 293547666763 600506140637 699998282281 863501530697 3816119667919 9099977669653 118299709705489