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13104020420436 = 223112391061391487
BaseRepresentation
bin1011111010110000010001…
…1110110111011101010100
31201101201202201021101112210
42332230010132313131110
53204144013211423221
643511523123113420
72521506561523311
oct276540436673524
951351681241483
1013104020420436
1141a24249a7210
121577791b12870
1374091c3b915a
14334348dd3d08
1517aceb82c276
hexbeb047b7754

13104020420436 has 96 divisors (see below), whose sum is σ = 33526907043840. Its totient is φ = 3950563523200.

The previous prime is 13104020420423. The next prime is 13104020420443. The reversal of 13104020420436 is 63402402040131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33276685 + ... + 33668171.

It is an arithmetic number, because the mean of its divisors is an integer number (349238615040).

Almost surely, 213104020420436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13104020420436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16763453521920).

13104020420436 is an abundant number, since it is smaller than the sum of its proper divisors (20422886623404).

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

13104020420436 is a wasteful number, since it uses less digits than its factorization.

13104020420436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392805 (or 392803 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13104020420436 its reverse (63402402040131), we get a palindrome (76506422460567).

The spelling of 13104020420436 in words is "thirteen trillion, one hundred four billion, twenty million, four hundred twenty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 239 478 717 956 1061 1434 2122 2629 2868 3183 4244 5258 6366 7887 10516 11671 12732 15774 23342 31548 35013 46684 70026 140052 253579 391487 507158 760737 782974 1014316 1174461 1521474 1565948 2348922 2789369 3042948 4306357 4697844 5578738 8368107 8612714 11157476 12919071 16736214 17225428 25838142 33472428 51676284 93565393 187130786 280696179 374261572 415367707 561392358 830735414 1029219323 1122784716 1246103121 1661470828 2058438646 2492206242 3087657969 4116877292 4569044777 4984412484 6175315938 9138089554 12350631876 13707134331 18276179108 27414268662 54828537324 99272881973 198545763946 297818645919 397091527892 595637291838 1092001701703 1191274583676 2184003403406 3276005105109 4368006806812 6552010210218 13104020420436