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2096493680 = 24571834447
BaseRepresentation
bin111110011110101…
…1111010001110000
312102002220220200002
41330331133101300
513243200244210
6544011045132
7102644621321
oct17475372160
95362826602
102096493680
11986463806
124a61407a8
13275460c08
1415c616448
15c40c34a5
hex7cf5f470

2096493680 has 80 divisors (see below), whose sum is σ = 5003679744. Its totient is φ = 816641280.

The previous prime is 2096493673. The next prime is 2096493697. The reversal of 2096493680 is 863946902.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469217 + ... + 473663.

Almost surely, 22096493680 is an apocalyptic number.

2096493680 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 2096493680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501839872).

2096493680 is an abundant number, since it is smaller than the sum of its proper divisors (2907186064).

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

2096493680 is a wasteful number, since it uses less digits than its factorization.

2096493680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The square root of 2096493680 is about 45787.4838793310. The cubic root of 2096493680 is about 1279.8660504360.

The spelling of 2096493680 in words is "two billion, ninety-six million, four hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 83 142 166 284 332 355 415 568 664 710 830 1136 1328 1420 1660 2840 3320 4447 5680 5893 6640 8894 11786 17788 22235 23572 29465 35576 44470 47144 58930 71152 88940 94288 117860 177880 235720 315737 355760 369101 471440 631474 738202 1262948 1476404 1578685 1845505 2525896 2952808 3157370 3691010 5051792 5905616 6314740 7382020 12629480 14764040 25258960 26206171 29528080 52412342 104824684 131030855 209649368 262061710 419298736 524123420 1048246840 2096493680