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2084169696 = 25374437001
BaseRepresentation
bin111110000111001…
…1110011111100000
312101020201210100020
41330032132133200
513232021412241
6542450553440
7102435102330
oct17416363740
95336653306
102084169696
1197a5065a4
124a1b98880
13272a3760b
1415ab290c0
15c2e8bb66
hex7c39e7e0

2084169696 has 96 divisors (see below), whose sum is σ = 6267518208. Its totient is φ = 594048000.

The previous prime is 2084169691. The next prime is 2084169697. The reversal of 2084169696 is 6969614802.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084169691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294196 + ... + 301196.

It is an arithmetic number, because the mean of its divisors is an integer number (65286648).

Almost surely, 22084169696 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 2084169696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133759104).

2084169696 is an abundant number, since it is smaller than the sum of its proper divisors (4183348512).

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

2084169696 is a wasteful number, since it uses less digits than its factorization.

2084169696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7464 (or 7456 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 2084169696 is about 45652.7074334042. The cubic root of 2084169696 is about 1277.3532744836.

The spelling of 2084169696 in words is "two billion, eighty-four million, one hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 443 672 886 1329 1772 2658 3101 3544 5316 6202 7001 7088 9303 10632 12404 14002 14176 18606 21003 21264 24808 28004 37212 42006 42528 49007 49616 56008 74424 84012 98014 99232 112016 147021 148848 168024 196028 224032 294042 297696 336048 392056 588084 672096 784112 1176168 1568224 2352336 3101443 4704672 6202886 9304329 12405772 18608658 21710101 24811544 37217316 43420202 49623088 65130303 74434632 86840404 99246176 130260606 148869264 173680808 260521212 297738528 347361616 521042424 694723232 1042084848 2084169696