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2671387392 = 28331311113
BaseRepresentation
bin1001111100111010…
…0010001100000000
320220011200112120210
42133032202030000
520432333344032
61121025034120
7123125263302
oct23716421400
96804615523
102671387392
111150a23983
12626785940
133375a90cb
141b4b05972
151097d22cc
hex9f3a2300

2671387392 has 72 divisors (see below), whose sum is σ = 7133143024. Its totient is φ = 887537664.

The previous prime is 2671387391. The next prime is 2671387393. The reversal of 2671387392 is 2937831762.

It is an interprime number because it is at equal distance from previous prime (2671387391) and next prime (2671387393).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2671387391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234828 + ... + 245940.

Almost surely, 22671387392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2671387392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566571512).

2671387392 is an abundant number, since it is smaller than the sum of its proper divisors (4461755632).

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

2671387392 is a wasteful number, since it uses less digits than its factorization.

2671387392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11445 (or 11431 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 2671387392 is about 51685.4659648145. The cubic root of 2671387392 is about 1387.5403583424.

The spelling of 2671387392 in words is "two billion, six hundred seventy-one million, three hundred eighty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 313 384 626 768 939 1252 1878 2504 3756 5008 7512 10016 11113 15024 20032 22226 30048 33339 40064 44452 60096 66678 80128 88904 120192 133356 177808 240384 266712 355616 533424 711232 1066848 1422464 2133696 2844928 3478369 4267392 6956738 8534784 10435107 13913476 20870214 27826952 41740428 55653904 83480856 111307808 166961712 222615616 333923424 445231232 667846848 890462464 1335693696 2671387392