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127944269376 = 26371123141619
BaseRepresentation
bin111011100101000010…
…0101001111001000000
3110020020122201022100120
41313022010221321000
54044012213110001
6134435441420240
712146402226420
oct1671204517100
9406218638316
10127944269376
114a296228300
122096833a680
13c0b0016891
14629a464480
1534dc643236
hex1dca129e40

127944269376 has 672 divisors, whose sum is σ = 450397839360. Its totient is φ = 31325184000.

The previous prime is 127944269293. The next prime is 127944269413. The reversal of 127944269376 is 673962449721.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206694795 + ... + 206695413.

It is an arithmetic number, because the mean of its divisors is an integer number (670234880).

Almost surely, 2127944269376 is an apocalyptic number.

127944269376 is a gapful number since it is divisible by the number (16) 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 127944269376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225198919680).

127944269376 is an abundant number, since it is smaller than the sum of its proper divisors (322453569984).

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

127944269376 is a wasteful number, since it uses less digits than its factorization.

127944269376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 714 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 60.

The spelling of 127944269376 in words is "one hundred twenty-seven billion, nine hundred forty-four million, two hundred sixty-nine thousand, three hundred seventy-six".