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2077342948296 = 23327111937533003
BaseRepresentation
bin11110001110101011010…
…010011101101111001000
321100120222121020201020200
4132032223102131233020
5233013344243321141
64230152420452200
7303040331501160
oct36165322355710
97316877221220
102077342948296
11730aa5a35670
12296729b4a060
13120b7b06c235
14727887b55a0
153908309bab6
hex1e3ab49dbc8

2077342948296 has 384 divisors, whose sum is σ = 7583154508800. Its totient is φ = 497354826240.

The previous prime is 2077342948249. The next prime is 2077342948337. The reversal of 2077342948296 is 6928492437702.

2077342948296 is a `hidden beast` number, since 20 + 7 + 7 + 3 + 42 + 9 + 482 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3630931 + ... + 4163933.

It is an arithmetic number, because the mean of its divisors is an integer number (19747798200).

Almost surely, 22077342948296 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 2077342948296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791577254400).

2077342948296 is an abundant number, since it is smaller than the sum of its proper divisors (5505811560504).

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

2077342948296 is a wasteful number, since it uses less digits than its factorization.

2077342948296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533089 (or 533082 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 2077342948296 in words is "two trillion, seventy-seven billion, three hundred forty-two million, nine hundred forty-eight thousand, two hundred ninety-six".