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127869281320 = 23511226419273
BaseRepresentation
bin111011100010110011…
…0100110010000101000
3110020001102121112002011
41313011212212100220
54043334014000240
6134424202245304
712144501646354
oct1670546462050
9406042545064
10127869281320
114a25796a700
12209471b6834
13c09a61c851
146290504464
1534d5c7e6ea
hex1dc59a6428

127869281320 has 48 divisors (see below), whose sum is σ = 316238709780. Its totient is φ = 46497918720.

The previous prime is 127869281317. The next prime is 127869281359. The reversal of 127869281320 is 23182968721.

It can be written as a sum of positive squares in 2 ways, for example, as 126253723684 + 1615557636 = 355322^2 + 40194^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 13204797 + ... + 13214476.

Almost surely, 2127869281320 is an apocalyptic number.

127869281320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127869281320 is an abundant number, since it is smaller than the sum of its proper divisors (188369428460).

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

127869281320 is a wasteful number, since it uses less digits than its factorization.

127869281320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26419306 (or 26419291 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 127869281320 in words is "one hundred twenty-seven billion, eight hundred sixty-nine million, two hundred eighty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 26419273 52838546 105677092 132096365 211354184 264192730 290612003 528385460 581224006 1056770920 1162448012 1453060015 2324896024 2906120030 3196732033 5812240060 6393464066 11624480120 12786928132 15983660165 25573856264 31967320330 63934640660 127869281320