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2714058816 = 263713191531
BaseRepresentation
bin1010000111000101…
…0100000001000000
321000010222110202220
42201301110001000
521024244340231
61125151411040
7124154055630
oct24161240100
97003873686
102714058816
111173019617
12638b23a80
13343399881
141ba6526c0
1510d410896
hexa1c54040

2714058816 has 112 divisors (see below), whose sum is σ = 8218383360. Its totient is φ = 774351360.

The previous prime is 2714058803. The next prime is 2714058859. The reversal of 2714058816 is 6188504172.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×27140588162 = 14732230513414643712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1771971 + ... + 1773501.

Almost surely, 22714058816 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 2714058816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109191680).

2714058816 is an abundant number, since it is smaller than the sum of its proper divisors (5504324544).

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

2714058816 is a wasteful number, since it uses less digits than its factorization.

2714058816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 2714058816 is about 52096.6296030751. The cubic root of 2714058816 is about 1394.8893282019.

The spelling of 2714058816 in words is "two billion, seven hundred fourteen million, fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1319 1344 1531 2638 3062 3957 4593 5276 6124 7914 9186 9233 10552 10717 12248 15828 18372 18466 21104 21434 24496 27699 31656 32151 36744 36932 42208 42868 48992 55398 63312 64302 73488 73864 84416 85736 97984 110796 126624 128604 146976 147728 171472 221592 253248 257208 293952 295456 342944 443184 514416 590912 685888 886368 1028832 1772736 2019389 2057664 4038778 6058167 8077556 12116334 14135723 16155112 24232668 28271446 32310224 42407169 48465336 56542892 64620448 84814338 96930672 113085784 129240896 169628676 193861344 226171568 339257352 387722688 452343136 678514704 904686272 1357029408 2714058816