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2149676880 = 243513688999
BaseRepresentation
bin1000000000100001…
…0111011101010000
312112210222220022020
42000020113131100
513400304130010
6553151011440
7104161644351
oct20010273520
95483886266
102149676880
11a0348906a
124bbb09b80
13283492170
141656dbd28
15c8acb470
hex80217750

2149676880 has 80 divisors (see below), whose sum is σ = 7176624000. Its totient is φ = 529150464.

The previous prime is 2149676729. The next prime is 2149676909. The reversal of 2149676880 is 886769412.

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

It is a super-2 number, since 2×21496768802 = 9242221376813068800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341380 + ... + 347619.

It is an arithmetic number, because the mean of its divisors is an integer number (89707800).

Almost surely, 22149676880 is an apocalyptic number.

2149676880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2149676880 is an abundant number, since it is smaller than the sum of its proper divisors (5026947120).

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

2149676880 is a wasteful number, since it uses less digits than its factorization.

2149676880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689028 (or 689022 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 2149676880 is about 46364.6080539888. The cubic root of 2149676880 is about 1290.5982202269.

The spelling of 2149676880 in words is "two billion, one hundred forty-nine million, six hundred seventy-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 688999 1377998 2066997 2755996 3444995 4133994 5511992 6889990 8267988 8956987 10334985 11023984 13779980 16535976 17913974 20669970 26870961 27559960 33071952 35827948 41339940 44784935 53741922 55119920 71655896 82679880 89569870 107483844 134354805 143311792 165359760 179139740 214967688 268709610 358279480 429935376 537419220 716558960 1074838440 2149676880