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130658982139456 = 26532269592
BaseRepresentation
bin11101101101010101101010…
…001101111001011001000000
3122010121212200010011110211121
4131231111222031321121000
5114111204043411430311
61141515524024122024
736343541244364651
oct3555255215713100
9563555603143747
10130658982139456
11386a5188166121
12127a2704906314
1357ba120b1b014
142439cdda59528
151018b1760ab71
hex76d56a379640

130658982139456 has 63 divisors (see below), whose sum is σ = 264270530282241. Its totient is φ = 64094481594624.

The previous prime is 130658982139421. The next prime is 130658982139519. The reversal of 130658982139456 is 654931289856031.

The square root of 130658982139456 is 11430616.

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

It can be written as a sum of positive squares in only one way, i.e., 94191683457600 + 36467298681856 = 9705240^2 + 6038816^2 .

It is a super-3 number, since 3×1306589821394563 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4846567705 + ... + 4846594663.

Almost surely, 2130658982139456 is an apocalyptic number.

130658982139456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130658982139456 is the 11430616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130658982139456

130658982139456 is an abundant number, since it is smaller than the sum of its proper divisors (133611548142785).

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

130658982139456 is an frugal number, since it uses more digits than its factorization.

130658982139456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54036 (or 27014 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 70.

The spelling of 130658982139456 in words is "one hundred thirty trillion, six hundred fifty-eight billion, nine hundred eighty-two million, one hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 2809 3392 5618 11236 22472 26959 44944 53918 89888 107836 179776 215672 431344 862688 1428827 1725376 2857654 5715308 11430616 22861232 45722464 75727831 91444928 151455662 302911324 605822648 726787681 1211645296 1453575362 2423290592 2907150724 4846581184 5814301448 11628602896 23257205792 38519747093 46514411584 77039494186 154078988372 308157976744 616315953488 1232631906976 2041546595929 2465263813952 4083093191858 8166186383716 16332372767432 32664745534864 65329491069728 130658982139456