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13123883855104 = 281119863284227
BaseRepresentation
bin1011111011111010010001…
…1011110110110100000000
31201110122001000211102101021
42332332210123312310000
53210010203231330404
643525010133315224
72523112035113461
oct276764433666400
951418030742337
1013123883855104
1141aa89832a720
12157b5b6195b14
137427666b9ba9
143352b10cad68
1517b5b05be454
hexbefa46f6d00

13123883855104 has 144 divisors (see below), whose sum is σ = 30117071738880. Its totient is φ = 5644864788480.

The previous prime is 13123883855081. The next prime is 13123883855149. The reversal of 13123883855104 is 40155838832131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46031839 + ... + 46316065.

It is an arithmetic number, because the mean of its divisors is an integer number (209146331520).

Almost surely, 213123883855104 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 13123883855104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058535869440).

13123883855104 is an abundant number, since it is smaller than the sum of its proper divisors (16993187883776).

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

13123883855104 is a wasteful number, since it uses less digits than its factorization.

13123883855104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285136 (or 285122 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 52.

The spelling of 13123883855104 in words is "thirteen trillion, one hundred twenty-three billion, eight hundred eighty-three million, eight hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 608 704 836 863 1216 1408 1672 1726 2432 2816 3344 3452 4864 6688 6904 9493 13376 13808 16397 18986 26752 27616 32794 37972 53504 55232 65588 75944 110464 131176 151888 180367 220928 262352 284227 303776 360734 524704 568454 607552 721468 1049408 1136908 1215104 1442936 2098816 2273816 2430208 2885872 3126497 4197632 4547632 5400313 5771744 6252994 9095264 10800626 11543488 12505988 18190528 21601252 23086976 25011976 36381056 43202504 46173952 50023952 59403443 72762112 86405008 100047904 118806886 172810016 200095808 237613772 245287901 345620032 400191616 475227544 490575802 691240064 800383232 950455088 981151604 1382480128 1900910176 1962303208 2698166911 3801820352 3924606416 4660470119 5396333822 7603640704 7849212832 9320940238 10792667644 15207281408 15698425664 18641880476 21585335288 31396851328 37283760952 43170670576 51265171309 62793702656 74567521904 86341341152 102530342618 149135043808 172682682304 205060685236 298270087616 345365364608 410121370472 596540175232 690730729216 820242740944 1193080350464 1640485481888 3280970963776 6561941927552 13123883855104