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13389355392 = 273739712547
BaseRepresentation
bin11000111100001000…
…10101100110000000
31021120010102201122120
430132010111212000
5204410133333032
610052340204240
7652541433360
oct143604254600
937503381576
1013389355392
115750a3a976
122718099680
131354c571ca
1491035c9a0
1553571162c
hex31e115980

13389355392 has 128 divisors (see below), whose sum is σ = 40751888640. Its totient is φ = 3815589888.

The previous prime is 13389355373. The next prime is 13389355403. The reversal of 13389355392 is 29355398331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1060863 + ... + 1073409.

It is an arithmetic number, because the mean of its divisors is an integer number (318374130).

Almost surely, 213389355392 is an apocalyptic number.

13389355392 is a gapful number since it is divisible by the number (12) 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 13389355392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20375944320).

13389355392 is an abundant number, since it is smaller than the sum of its proper divisors (27362533248).

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

13389355392 is a wasteful number, since it uses less digits than its factorization.

13389355392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12968 (or 12956 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 51.

The spelling of 13389355392 in words is "thirteen billion, three hundred eighty-nine million, three hundred fifty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 397 448 672 794 896 1191 1344 1588 2382 2688 2779 3176 4764 5558 6352 8337 9528 11116 12547 12704 16674 19056 22232 25094 25408 33348 37641 38112 44464 50188 50816 66696 75282 76224 87829 88928 100376 133392 150564 152448 175658 177856 200752 263487 266784 301128 351316 355712 401504 526974 533568 602256 702632 803008 1053948 1067136 1204512 1405264 1606016 2107896 2409024 2810528 4215792 4818048 4981159 5621056 8431584 9962318 11242112 14943477 16863168 19924636 29886954 33726336 34868113 39849272 59773908 69736226 79698544 104604339 119547816 139472452 159397088 209208678 239095632 278944904 318794176 418417356 478191264 557889808 637588352 836834712 956382528 1115779616 1673669424 1912765056 2231559232 3347338848 4463118464 6694677696 13389355392