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127919329460 = 225133371459933
BaseRepresentation
bin111011100100010010…
…1100001000010110100
3110020011220210020012222
41313020211201002310
54043434322020320
6134433151101512
712145650234326
oct1671045410264
9406156706188
10127919329460
114a2831435aa
122095bb11898
13c0a7ac3b30
146297011616
1534da368825
hex1dc89610b4

127919329460 has 48 divisors (see below), whose sum is σ = 290153122896. Its totient is φ = 47091566592.

The previous prime is 127919329459. The next prime is 127919329507. The reversal of 127919329460 is 64923919721.

It can be written as a sum of positive squares in 8 ways, for example, as 1156272016 + 126763057444 = 34004^2 + 356038^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642347 + ... + 817586.

It is an arithmetic number, because the mean of its divisors is an integer number (6044856727).

Almost surely, 2127919329460 is an apocalyptic number.

127919329460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127919329460 is an abundant number, since it is smaller than the sum of its proper divisors (162233793436).

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

127919329460 is a wasteful number, since it uses less digits than its factorization.

127919329460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460292 (or 1460290 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 53.

The spelling of 127919329460 in words is "one hundred twenty-seven billion, nine hundred nineteen million, three hundred twenty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 337 674 1348 1685 3370 4381 6740 8762 17524 21905 43810 87620 1459933 2919866 5839732 7299665 14599330 18979129 29198660 37958258 75916516 94895645 189791290 379582580 491997421 983994842 1967989684 2459987105 4919974210 6395966473 9839948420 12791932946 25583865892 31979832365 63959664730 127919329460