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2076762816340 = 225742011399417
BaseRepresentation
bin11110001110001000101…
…101011011111101010100
321100112111011121221210221
4132032020231123331110
5233011202240110330
64230015054324124
7303020055451312
oct36161055337524
97315434557727
102076762816340
11730828517973
122965a77b9644
13120ab7b0b9a4
14727317210b2
153904c1a5b7a
hex1e388b5bf54

2076762816340 has 24 divisors (see below), whose sum is σ = 4361263806312. Its totient is φ = 830693337600.

The previous prime is 2076762816307. The next prime is 2076762816341. The reversal of 2076762816340 is 436182676702.

It can be written as a sum of positive squares in 4 ways, for example, as 208626043536 + 1868136772804 = 456756^2 + 1366798^2 .

It is a super-3 number, since 3×20767628163403 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2076762816341) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 784312 + ... + 2183728.

It is an arithmetic number, because the mean of its divisors is an integer number (181719325263).

Almost surely, 22076762816340 is an apocalyptic number.

2076762816340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2076762816340 is an abundant number, since it is smaller than the sum of its proper divisors (2284500989972).

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

2076762816340 is a wasteful number, since it uses less digits than its factorization.

2076762816340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473627 (or 1473625 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 2076762816340 in words is "two trillion, seventy-six billion, seven hundred sixty-two million, eight hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 74201 148402 296804 371005 742010 1399417 1484020 2798834 5597668 6997085 13994170 27988340 103838140817 207676281634 415352563268 519190704085 1038381408170 2076762816340