Search a number
-
+
127680520144 = 24171924705983
BaseRepresentation
bin111011011101001011…
…0100001111111010000
3110012120021102110102111
41312322112201333100
54042442203121034
6134353340355104
712140020341262
oct1667226417720
9405507373374
10127680520144
114a170363631
12208b3b45a94
13c06a49bc48
146273409b32
1534c43e5364
hex1dba5a1fd0

127680520144 has 40 divisors (see below), whose sum is σ = 275718781440. Its totient is φ = 56922582528.

The previous prime is 127680520067. The next prime is 127680520157. The reversal of 127680520144 is 441025086721.

It is a junction number, because it is equal to n+sod(n) for n = 127680520097 and 127680520106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12347824 + ... + 12358159.

It is an arithmetic number, because the mean of its divisors is an integer number (6892969536).

Almost surely, 2127680520144 is an apocalyptic number.

It is an amenable number.

127680520144 is an abundant number, since it is smaller than the sum of its proper divisors (148038261296).

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

127680520144 is a wasteful number, since it uses less digits than its factorization.

127680520144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24706027 (or 24706021 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 127680520144 in words is "one hundred twenty-seven billion, six hundred eighty million, five hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 646 1292 2584 5168 24705983 49411966 98823932 197647864 395295728 420001711 469413677 840003422 938827354 1680006844 1877654708 3360013688 3755309416 6720027376 7510618832 7980032509 15960065018 31920130036 63840260072 127680520144