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2076679862761 = 72127216212
BaseRepresentation
bin11110001110000011110…
…000111111100111101001
321100112021101112110220011
4132032003300333213221
5233011020021102021
64230002532331521
7303015030404200
oct36160360774751
97315241473804
102076679862761
11730795709699
12296583a73ba1
13120aa388612a
14727246ca237
1539044c6bde1
hex1e383c3f9e9

2076679862761 has 27 divisors (see below), whose sum is σ = 2436403929687. Its totient is φ = 1764906025680.

The previous prime is 2076679862759. The next prime is 2076679862821. The reversal of 2076679862761 is 1672689766702.

The square root of 2076679862761 is 1441069.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1595848566361 + 480831296400 = 1263269^2 + 693420^2 .

It is not a de Polignac number, because 2076679862761 - 21 = 2076679862759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2076679862461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1281109531 + ... + 1281111151.

It is an arithmetic number, because the mean of its divisors is an integer number (90237182581).

Almost surely, 22076679862761 is an apocalyptic number.

2076679862761 is the 1441069-th square number.

2076679862761 is the 720535-th centered octagonal number.

It is an amenable number.

2076679862761 is a deficient number, since it is larger than the sum of its proper divisors (359724066926).

2076679862761 is an frugal number, since it uses more digits than its factorization.

2076679862761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 67.

The spelling of 2076679862761 in words is "two trillion, seventy-six billion, six hundred seventy-nine million, eight hundred sixty-two thousand, seven hundred sixty-one".

Divisors: 1 7 49 127 889 1621 6223 11347 16129 79429 112903 205867 790321 1441069 2627641 10087483 18393487 26145109 128754409 183015763 333710407 1281110341 2335972849 16351809943 42381221689 296668551823 2076679862761