Search a number
-
+
13054323567472 = 241134160124877
BaseRepresentation
bin1011110111110111001001…
…0100011010101101110000
31201012222111020212200110221
42331331302110122231300
53202340223313124342
643433023511102424
72515100210325205
oct275756224325560
951188436780427
1013054323567472
114183342368000
12156a022671a14
1373902c3a9795
14331b92a55cac
1517988d8b8a67
hexbdf7251ab70

13054323567472 has 160 divisors (see below), whose sum is σ = 28547232735168. Its totient is φ = 5779192320000.

The previous prime is 13054323567469. The next prime is 13054323567473. The reversal of 13054323567472 is 27476532345031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13054323567473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524742298 + ... + 524767174.

Almost surely, 213054323567472 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 13054323567472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14273616367584).

13054323567472 is an abundant number, since it is smaller than the sum of its proper divisors (15492909167696).

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

13054323567472 is a wasteful number, since it uses less digits than its factorization.

13054323567472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25560 (or 25532 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 52.

The spelling of 13054323567472 in words is "thirteen trillion, fifty-four billion, three hundred twenty-three million, five hundred sixty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 121 164 176 242 328 451 484 601 656 902 968 1202 1331 1804 1936 2404 2662 3608 4808 4961 5324 6611 7216 9616 9922 10648 13222 19844 21296 24641 24877 26444 39688 49282 49754 52888 54571 72721 79376 98564 99508 105776 109142 145442 197128 199016 218284 271051 273647 290884 394256 398032 436568 542102 547294 581768 799931 873136 1019957 1084204 1094588 1163536 1599862 2039914 2168408 2189176 2981561 3010117 3199724 4079828 4336816 4378352 5963122 6020234 6399448 8159656 11219527 11926244 12040468 12798896 14951077 16319312 22439054 23852488 24080936 29902154 32797171 33111287 44878108 47704976 48161872 59804308 65594342 66222574 89756216 119608616 123414797 131188684 132445148 164461847 179512432 239217232 246829594 262377368 264890296 328923694 493659188 524754736 529780592 612994157 657847388 987318376 1225988314 1315694776 1357562767 1809080317 1974636752 2451976628 2631389552 2715125534 3618160634 4903953256 5430251068 6742935727 7236321268 9807906512 10860502136 13485871454 14472642536 19899883487 21721004272 26971742908 28945285072 39799766974 53943485816 74172292997 79599533948 107886971632 148344585994 159199067896 296689171988 318398135792 593378343976 815895222967 1186756687952 1631790445934 3263580891868 6527161783736 13054323567472