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2672986797 = 34132538449
BaseRepresentation
bin1001111101010010…
…1000101010101101
320220021200210120000
42133110220222231
520433241034142
61121123214513
7123145004265
oct23724505255
96807623500
102672986797
1111519165a8
12627217439
13337a190c0
141b50007a5
151099eb14c
hex9f528aad

2672986797 has 20 divisors (see below), whose sum is σ = 4300134300. Its totient is φ = 1644914304.

The previous prime is 2672986787. The next prime is 2672986801. The reversal of 2672986797 is 7976892762.

It can be written as a sum of positive squares in 2 ways, for example, as 192349161 + 2480637636 = 13869^2 + 49806^2 .

It is not a de Polignac number, because 2672986797 - 24 = 2672986781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672986717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1268172 + ... + 1270277.

It is an arithmetic number, because the mean of its divisors is an integer number (215006715).

Almost surely, 22672986797 is an apocalyptic number.

2672986797 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2672986797 is a deficient number, since it is larger than the sum of its proper divisors (1627147503).

2672986797 is a wasteful number, since it uses less digits than its factorization.

2672986797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538474 (or 2538465 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The square root of 2672986797 is about 51700.9361327239. The cubic root of 2672986797 is about 1387.8172177553.

It can be divided in two parts, 26729 and 86797, that added together give a triangular number (113526 = T476).

The spelling of 2672986797 in words is "two billion, six hundred seventy-two million, nine hundred eighty-six thousand, seven hundred ninety-seven".

Divisors: 1 3 9 13 27 39 81 117 351 1053 2538449 7615347 22846041 32999837 68538123 98999511 205614369 296998533 890995599 2672986797