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13250747082144 = 2531121387748643
BaseRepresentation
bin1100000011010010111000…
…0100101010010110100000
31201220202111100101002102210
43000310232010222112200
53214100012223112034
644103150440442120
72535222602545245
oct300645604522640
951822440332383
1013250747082144
114249679310900
1215a0100479340
1375170375c940
1433b4a7b495cc
1517ea37d738e9
hexc0d2e12a5a0

13250747082144 has 144 divisors (see below), whose sum is σ = 41173769732256. Its totient is φ = 3706502638080.

The previous prime is 13250747082109. The next prime is 13250747082149. The reversal of 13250747082144 is 44128074705231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 13250747082093 and 13250747082102.

It is not an unprimeable number, because it can be changed into a prime (13250747082149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43723314 + ... + 44025329.

It is an arithmetic number, because the mean of its divisors is an integer number (285928956474).

Almost surely, 213250747082144 is an apocalyptic number.

It is an amenable number.

13250747082144 is an abundant number, since it is smaller than the sum of its proper divisors (27923022650112).

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

13250747082144 is a wasteful number, since it uses less digits than its factorization.

13250747082144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87748691 (or 87748672 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 13250747082144 in words is "thirteen trillion, two hundred fifty billion, seven hundred forty-seven million, eighty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 121 132 143 156 176 208 242 264 286 312 352 363 416 429 484 528 572 624 726 858 968 1056 1144 1248 1452 1573 1716 1936 2288 2904 3146 3432 3872 4576 4719 5808 6292 6864 9438 11616 12584 13728 18876 25168 37752 50336 75504 151008 87748643 175497286 263245929 350994572 526491858 701989144 965235073 1052983716 1140732359 1403978288 1930470146 2105967432 2281464718 2807956576 2895705219 3422197077 3860940292 4211934864 4562929436 5791410438 6844394154 7721880584 8423869728 9125858872 10617585803 11582820876 12548055949 13688788308 15443761168 18251717744 21235171606 23165641752 25096111898 27377576616 30887522336 31852757409 36503435488 37644167847 42470343212 46331283504 50192223796 54755153232 63705514818 75288335694 84940686424 92662567008 100384447592 109510306464 127411029636 138028615439 150576671388 169881372848 200768895184 254822059272 276057230878 301153342776 339762745696 401537790368 414085846317 509644118544 552114461756 602306685552 828171692634 1019288237088 1104228923512 1204613371104 1656343385268 2208457847024 3312686770536 4416915694048 6625373541072 13250747082144