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13181539840 = 2957811907
BaseRepresentation
bin11000100011010111…
…00101011000000000
31021000122101121022021
430101223211120000
5203443433233330
610015554051224
7644436145210
oct142153453000
937018347267
1013181539840
1156546a9a87
12267a579b14
131320b94721
148d0904240
1552236167a
hex311ae5600

13181539840 has 160 divisors (see below), whose sum is σ = 36204182784. Its totient is φ = 4508835840.

The previous prime is 13181539829. The next prime is 13181539859. The reversal of 13181539840 is 4893518131.

It is a tau number, because it is divible by the number of its divisors (160).

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, 14532667 + ... + 14533573.

Almost surely, 213181539840 is an apocalyptic number.

13181539840 is a gapful number since it is divisible by the number (10) 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 13181539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18102091392).

13181539840 is an abundant number, since it is smaller than the sum of its proper divisors (23022642944).

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

13181539840 is an frugal number, since it uses more digits than its factorization.

13181539840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 13181539840 in words is "thirteen billion, one hundred eighty-one million, five hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 811 896 907 1120 1280 1622 1792 1814 2240 2560 3244 3584 3628 4055 4480 4535 5677 6349 6488 7256 8110 8960 9070 11354 12698 12976 14512 16220 17920 18140 22708 25396 25952 28385 29024 31745 32440 36280 45416 50792 51904 56770 58048 63490 64880 72560 90832 101584 103808 113540 116096 126980 129760 145120 181664 203168 207616 227080 232192 253960 259520 290240 363328 406336 415232 454160 464384 507920 519040 580480 726656 735577 812672 908320 1015840 1038080 1160960 1453312 1471154 1625344 1816640 2031680 2076160 2321920 2906624 2942308 3250688 3633280 3677885 4063360 5149039 5884616 7266560 7355770 8126720 10298078 11769232 14533120 14711540 16253440 20596156 23538464 25745195 29423080 41192312 47076928 51490390 58846160 82384624 94153856 102980780 117692320 164769248 188307712 205961560 235384640 329538496 376615424 411923120 470769280 659076992 823846240 941538560 1318153984 1647692480 1883077120 2636307968 3295384960 6590769920 13181539840