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2709374031 = 3271321714969
BaseRepresentation
bin1010000101111101…
…1100010001001111
320222211011110110100
42201133130101033
521022044432111
61124503142143
7124066204440
oct24137342117
96884143410
102709374031
1111704098a1
12637444953
13342419400
141b9b932c7
1510ccd7756
hexa17dc44f

2709374031 has 72 divisors (see below), whose sum is σ = 5128362720. Its totient is φ = 1344964608.

The previous prime is 2709374029. The next prime is 2709374117. The reversal of 2709374031 is 1304739072.

It is not a de Polignac number, because 2709374031 - 21 = 2709374029 is a prime.

It is a super-2 number, since 2×27093740312 = 14681415279714377922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2709374021) 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 71 ways as a sum of consecutive naturals, for example, 173515 + ... + 188483.

It is an arithmetic number, because the mean of its divisors is an integer number (71227260).

Almost surely, 22709374031 is an apocalyptic number.

2709374031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2709374031 is a deficient number, since it is larger than the sum of its proper divisors (2418988689).

2709374031 is a wasteful number, since it uses less digits than its factorization.

2709374031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15025 (or 15009 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 2709374031 is about 52051.6477260807. The cubic root of 2709374031 is about 1394.0862849158.

It can be divided in two parts, 27093 and 74031, that added together give a square (101124 = 3182).

The spelling of 2709374031 in words is "two billion, seven hundred nine million, three hundred seventy-four thousand, thirty-one".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 169 221 273 357 507 663 819 1071 1183 1521 1547 1989 2873 3549 4641 8619 10647 13923 14969 20111 25857 44907 60333 104783 134721 180999 194597 254473 314349 583791 763419 943047 1362179 1751373 1781311 2290257 2529761 3308149 4086537 5343933 7589283 9924447 12259611 16031799 17708327 22767849 23157043 29773341 43005937 53124981 69471129 129017811 159374943 208413387 301041559 387053433 903124677 2709374031