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2171366480 = 245173151503
BaseRepresentation
bin1000000101101100…
…0110110001010000
312121022210211211202
42001123012301100
513421332211410
6555243530332
7104544211343
oct20133066120
95538724752
102171366480
11a14752858
125072299a8
13287b1764a
1416854645a
15ca962ca5
hex816c6c50

2171366480 has 80 divisors (see below), whose sum is σ = 5517932544. Its totient is φ = 791070720.

The previous prime is 2171366473. The next prime is 2171366507. The reversal of 2171366480 is 846631712.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16409 + ... + 67911.

Almost surely, 22171366480 is an apocalyptic number.

2171366480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2171366480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758966272).

2171366480 is an abundant number, since it is smaller than the sum of its proper divisors (3346566064).

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

2171366480 is a wasteful number, since it uses less digits than its factorization.

2171366480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51564 (or 51558 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 2171366480 is about 46597.9235588883. The cubic root of 2171366480 is about 1294.9242871016.

The spelling of 2171366480 in words is "two billion, one hundred seventy-one million, three hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1360 2108 2480 2635 4216 5270 8432 10540 21080 42160 51503 103006 206012 257515 412024 515030 824048 875551 1030060 1596593 1751102 2060120 3193186 3502204 4120240 4377755 6386372 7004408 7982965 8755510 12772744 14008816 15965930 17511020 25545488 27142081 31931860 35022040 54284162 63863720 70044080 108568324 127727440 135710405 217136648 271420810 434273296 542841620 1085683240 2171366480