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61379114144 = 253164819547
BaseRepresentation
bin111001001010011110…
…101111010010100000
312212102121122001200212
4321022132233102200
52001201023123034
644110331233252
74302013601435
oct711236572240
9185377561625
1061379114144
1124037a00a17
12ba8b8a8828
135a323a526a
142d83ac9b8c
1518e386e2ce
hexe4a7af4a0

61379114144 has 48 divisors (see below), whose sum is σ = 124770514176. Its totient is φ = 29691878400.

The previous prime is 61379114131. The next prime is 61379114213. The reversal of 61379114144 is 44141197316.

61379114144 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6424379 + ... + 6433925.

It is an arithmetic number, because the mean of its divisors is an integer number (2599385712).

Almost surely, 261379114144 is an apocalyptic number.

It is an amenable number.

61379114144 is an abundant number, since it is smaller than the sum of its proper divisors (63391400032).

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

61379114144 is a wasteful number, since it uses less digits than its factorization.

61379114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16069 (or 16061 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The spelling of 61379114144 in words is "sixty-one billion, three hundred seventy-nine million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 6481 9547 12962 19094 25924 38188 51848 76376 103696 152752 200911 207392 295957 305504 401822 591914 803644 1183828 1607288 2367656 3214576 4735312 6429152 9470624 61874107 123748214 247496428 494992856 989985712 1918097317 1979971424 3836194634 7672389268 15344778536 30689557072 61379114144