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2093653680 = 243571122867
BaseRepresentation
bin111110011001010…
…1001111010110000
312101220120121220220
41330302221322300
513241433404210
6543430133040
7102611522406
oct17462517260
95356517826
102093653680
119848a3aa8
124a51b1180
132749a8341
1415c0b7476
15c3c11c70
hex7cca9eb0

2093653680 has 80 divisors (see below), whose sum is σ = 6581793024. Its totient is φ = 550439680.

The previous prime is 2093653673. The next prime is 2093653741. The reversal of 2093653680 is 863563902.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44394 + ... + 78473.

Almost surely, 22093653680 is an apocalyptic number.

2093653680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2093653680 is an abundant number, since it is smaller than the sum of its proper divisors (4488139344).

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

2093653680 is a wasteful number, since it uses less digits than its factorization.

2093653680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122954 (or 122948 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 2093653680 is about 45756.4605274490. The cubic root of 2093653680 is about 1279.2878688515.

The spelling of 2093653680 in words is "two billion, ninety-three million, six hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 122867 245734 368601 491468 614335 737202 982936 1228670 1474404 1843005 1965872 2457340 2948808 3686010 4914680 5897616 7372020 8723557 9829360 14744040 17447114 26170671 29488080 34894228 43617785 52341342 69788456 87235570 104682684 130853355 139576912 174471140 209365368 261706710 348942280 418730736 523413420 697884560 1046826840 2093653680