Search a number
-
+
1327745479480 = 23572881768923
BaseRepresentation
bin10011010100100011110…
…011000011001100111000
311200221010212100211212021
4103110203303003030320
5133223210320320410
62453542521324224
7164632525235200
oct23244363031470
94627125324767
101327745479480
11472103788622
121953ab336674
139828a37c014
1448398403400
152480eb62eda
hex13523cc3338

1327745479480 has 96 divisors (see below), whose sum is σ = 3479119665840. Its totient is φ = 454709713920.

The previous prime is 1327745479457. The next prime is 1327745479523. The reversal of 1327745479480 is 849745477231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1342299 + ... + 2111221.

Almost surely, 21327745479480 is an apocalyptic number.

1327745479480 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 1327745479480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739559832920).

1327745479480 is an abundant number, since it is smaller than the sum of its proper divisors (2151374186360).

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

1327745479480 is a wasteful number, since it uses less digits than its factorization.

1327745479480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769829 (or 769818 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 61.

The spelling of 1327745479480 in words is "one trillion, three hundred twenty-seven billion, seven hundred forty-five million, four hundred seventy-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 881 980 1762 1960 3524 4405 6167 7048 8810 12334 17620 24668 30835 35240 43169 49336 61670 86338 123340 172676 215845 246680 345352 431690 768923 863380 1537846 1726760 3075692 3844615 5382461 6151384 7689230 10764922 15378460 21529844 26912305 30756920 37677227 43059688 53824610 75354454 107649220 150708908 188386135 215298440 301417816 376772270 677421163 753544540 1354842326 1507089080 2709684652 3387105815 4741948141 5419369304 6774211630 9483896282 13548423260 18967792564 23709740705 27096846520 33193636987 37935585128 47419481410 66387273974 94838962820 132774547948 165968184935 189677925640 265549095896 331936369870 663872739740 1327745479480