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13197885233920 = 28571271535879
BaseRepresentation
bin1100000000001101111101…
…0000101101101100000000
31201201201001022110222002021
43000003133100231230000
53212213232104441140
644023005203531224
72531341620341542
oct300033720555400
951651038428067
1013197885233920
114229212167932
121591a09089b14
1374972ab196ca
14338ad12d5692
1517d492128b4a
hexc00df42db00

13197885233920 has 144 divisors (see below), whose sum is σ = 32176670238720. Its totient is φ = 5185584230400.

The previous prime is 13197885233879. The next prime is 13197885233941. The reversal of 13197885233920 is 2933258879131.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24360541 + ... + 24896419.

It is an arithmetic number, because the mean of its divisors is an integer number (223449098880).

Almost surely, 213197885233920 is an apocalyptic number.

13197885233920 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 13197885233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16088335119360).

13197885233920 is an abundant number, since it is smaller than the sum of its proper divisors (18978785004800).

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

13197885233920 is an equidigital number, since it uses as much as digits as its factorization.

13197885233920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536242 (or 536228 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 13197885233920 in words is "thirteen trillion, one hundred ninety-seven billion, eight hundred eighty-five million, two hundred thirty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 256 271 284 320 355 542 568 640 710 1084 1136 1280 1355 1420 2168 2272 2710 2840 4336 4544 5420 5680 8672 9088 10840 11360 17344 18176 19241 21680 22720 34688 38482 43360 45440 69376 76964 86720 90880 96205 153928 173440 192410 307856 346880 384820 535879 615712 769640 1071758 1231424 1539280 2143516 2462848 2679395 3078560 4287032 4925696 5358790 6157120 8574064 10717580 12314240 17148128 21435160 24628480 34296256 38047409 42870320 68592512 76094818 85740640 137185024 145223209 152189636 171481280 190237045 290446418 304379272 342962560 380474090 580892836 608758544 685925120 726116045 760948180 1161785672 1217517088 1452232090 1521896360 2323571344 2435034176 2904464180 3043792720 4647142688 4870068352 5808928360 6087585440 9294285376 9740136704 10310847839 11617856720 12175170880 18588570752 20621695678 23235713440 24350341760 37177141504 41243391356 46471426880 48700683520 51554239195 82486782712 92942853760 103108478390 164973565424 185885707520 206216956780 329947130848 412433913560 659894261696 824867827120 1319788523392 1649735654240 2639577046784 3299471308480 6598942616960 13197885233920