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2171087296 = 26726710333
BaseRepresentation
bin1000000101101000…
…0010100111000000
312121022021122212121
42001122002213000
513421244243141
6555233534024
7104541636400
oct20132024700
95538248777
102171087296
11a14582024
12507114314
13287a4a551
141684b2800
15ca90a1d1
hex816829c0

2171087296 has 84 divisors (see below), whose sum is σ = 5086932168. Its totient is φ = 916489728.

The previous prime is 2171087293. The next prime is 2171087297. The reversal of 2171087296 is 6927801712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2171087293) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204946 + ... + 215278.

Almost surely, 22171087296 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 2171087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543466084).

2171087296 is an abundant number, since it is smaller than the sum of its proper divisors (2915844872).

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

2171087296 is a wasteful number, since it uses less digits than its factorization.

2171087296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10426 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 43.

The square root of 2171087296 is about 46594.9277926257. The cubic root of 2171087296 is about 1294.8687863159.

The spelling of 2171087296 in words is "two billion, one hundred seventy-one million, eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 67 98 112 134 196 224 268 392 448 469 536 784 938 1072 1568 1876 2144 3136 3283 3752 4288 6566 7504 10333 13132 15008 20666 26264 30016 41332 52528 72331 82664 105056 144662 165328 210112 289324 330656 506317 578648 661312 692311 1012634 1157296 1384622 2025268 2314592 2769244 4050536 4629184 4846177 5538488 8101072 9692354 11076976 16202144 19384708 22153952 32404288 33923239 38769416 44307904 67846478 77538832 135692956 155077664 271385912 310155328 542771824 1085543648 2171087296