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270126070820 = 22531598838363
BaseRepresentation
bin1111101110010011000…
…1001011110000100100
3221211020112212012000122
43323210301023300210
513411204233231240
6324032203101112
725341655501034
oct3734461136044
9854215765018
10270126070820
11a4618141131
1244428811798
131c61b907a38
14d1077538c4
15705eb894b5
hex3ee4c4bc24

270126070820 has 96 divisors (see below), whose sum is σ = 596234096640. Its totient is φ = 102663953280.

The previous prime is 270126070769. The next prime is 270126070831. The reversal of 270126070820 is 28070621072.

270126070820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 32295959 + ... + 32304321.

It is an arithmetic number, because the mean of its divisors is an integer number (6210771840).

Almost surely, 2270126070820 is an apocalyptic number.

270126070820 is a gapful number since it is divisible by the number (20) 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 270126070820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298117048320).

270126070820 is an abundant number, since it is smaller than the sum of its proper divisors (326108025820).

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

270126070820 is a wasteful number, since it uses less digits than its factorization.

270126070820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9345 (or 9343 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

Adding to 270126070820 its reverse (28070621072), we get a palindrome (298196691892).

The spelling of 270126070820 in words is "two hundred seventy billion, one hundred twenty-six million, seventy thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 590 620 883 1180 1766 1829 3532 3658 4415 7316 8363 8830 9145 16726 17660 18290 27373 33452 36580 41815 52097 54746 83630 104194 109492 136865 167260 208388 259253 260485 273730 493417 518506 520970 547460 986834 1037012 1041940 1296265 1615007 1973668 2467085 2592530 3230014 4934170 5185060 6460028 7384529 8075035 9868340 14769058 15295927 16150070 29538116 30591854 32300140 36922645 61183708 73845290 76479635 147690580 152959270 228920399 305918540 435687211 457840798 871374422 915681596 1144601995 1742748844 2178436055 2289203990 4356872110 4578407980 8713744220 13506303541 27012607082 54025214164 67531517705 135063035410 270126070820