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2153771680 = 25587715349
BaseRepresentation
bin1000000001011111…
…1111001010100000
312120002200221022111
42000113333022200
513402331143210
6553414445104
7104241520504
oct20027771240
95502627274
102153771680
11a058255a5
12501363794
13284296c18
14166086304
15c913988a
hex805ff2a0

2153771680 has 48 divisors (see below), whose sum is σ = 5094419400. Its totient is φ = 860470272.

The previous prime is 2153771651. The next prime is 2153771693. The reversal of 2153771680 is 861773512.

It can be written as a sum of positive squares in 4 ways, for example, as 1885991184 + 267780496 = 43428^2 + 16364^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132646 + ... + 147994.

Almost surely, 22153771680 is an apocalyptic number.

2153771680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153771680 is an abundant number, since it is smaller than the sum of its proper divisors (2940647720).

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

2153771680 is a wasteful number, since it uses less digits than its factorization.

2153771680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16241 (or 16233 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 2153771680 is about 46408.7457275027. The cubic root of 2153771680 is about 1291.4171633979.

The spelling of 2153771680 in words is "two billion, one hundred fifty-three million, seven hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 877 1754 3508 4385 7016 8770 14032 15349 17540 28064 30698 35080 61396 70160 76745 122792 140320 153490 245584 306980 491168 613960 1227920 2455840 13461073 26922146 53844292 67305365 107688584 134610730 215377168 269221460 430754336 538442920 1076885840 2153771680