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2677903145191 = 171361331157131
BaseRepresentation
bin100110111101111111011…
…101110011100011100111
3100111000010200012201102001
4212331333131303203213
5322333321201121231
65410113422030131
7364320636110251
oct46757735634347
910430120181361
102677903145191
119427685703aa
12372bb4418347
131656a9a9a2a1
149387b200cd1
15499d21c3b61
hex26f7f7738e7

2677903145191 has 8 divisors (see below), whose sum is σ = 2835450138384. Its totient is φ = 2520358738560.

The previous prime is 2677903145189. The next prime is 2677903145209. The reversal of 2677903145191 is 1915413097762.

2677903145191 = T1336138 + T1336139 + T1336140.

2677903145191 is a nontrivial binomial coefficient, being equal to C(2314262, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2677903145191 - 21 = 2677903145189 is a prime.

It is a super-4 number, since 4×26779031451914 (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2677903145101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1735696 + ... + 2892826.

It is an arithmetic number, because the mean of its divisors is an integer number (354431267298).

Almost surely, 22677903145191 is an apocalyptic number.

2677903145191 is the 2314261-st triangular number and also the 1157131-st hexagonal number.

2677903145191 is the 1336140-th centered triangular number and also the 771421-st centered nonagonal number.

2677903145191 is a deficient number, since it is larger than the sum of its proper divisors (157546993193).

2677903145191 is a wasteful number, since it uses less digits than its factorization.

2677903145191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293281.

The product of its (nonzero) digits is 2857680, while the sum is 55.

The spelling of 2677903145191 in words is "two trillion, six hundred seventy-seven billion, nine hundred three million, one hundred forty-five thousand, one hundred ninety-one".

Divisors: 1 17 136133 1157131 2314261 19671227 157523714423 2677903145191