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2765139148068 = 223111719531319341
BaseRepresentation
bin101000001111001111001…
…000101111110100100100
3100210100022022010211021120
4220033033020233310210
5330301001110214233
65514142024213540
7403526503645203
oct50171710576444
910710268124246
102765139148068
11976763a64550
12387a9b60a2b0
131709a00896bb
1497b94dab23a
154bddaa784b3
hex283cf22fd24

2765139148068 has 384 divisors, whose sum is σ = 8054699304960. Its totient is φ = 727354368000.

The previous prime is 2765139148067. The next prime is 2765139148117. The reversal of 2765139148068 is 8608419315672.

It is a happy number.

2765139148068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2765139148067) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 296017078 + ... + 296026418.

It is an arithmetic number, because the mean of its divisors is an integer number (20975779440).

It is a 1-persistent number, because it is pandigital, but 2⋅2765139148068 = 5530278296136 is not.

Almost surely, 22765139148068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2765139148068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027349652480).

2765139148068 is an abundant number, since it is smaller than the sum of its proper divisors (5289560156892).

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

2765139148068 is a wasteful number, since it uses less digits than its factorization.

2765139148068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9579 (or 9577 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 2765139148068 in words is "two trillion, seven hundred sixty-five billion, one hundred thirty-nine million, one hundred forty-eight thousand, sixty-eight".