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2770420896 = 253231615087
BaseRepresentation
bin1010010100100001…
…0100010010100000
321011002000222000100
42211020110102200
521133211432041
61134523422400
7125440121565
oct24510242240
97132028010
102770420896
1111a1915251
12653984a00
13351c71a09
141c3d2486c
151133456b6
hexa52144a0

2770420896 has 144 divisors (see below), whose sum is σ = 8267470848. Its totient is φ = 878860800.

The previous prime is 2770420879. The next prime is 2770420903. The reversal of 2770420896 is 6980240772.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542065 + ... + 547151.

It is an arithmetic number, because the mean of its divisors is an integer number (57412992).

Almost surely, 22770420896 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 2770420896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133735424).

2770420896 is an abundant number, since it is smaller than the sum of its proper divisors (5497049952).

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

2770420896 is a wasteful number, since it uses less digits than its factorization.

2770420896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2770420896 is about 52634.7878878599. The cubic root of 2770420896 is about 1404.4790047472.

The spelling of 2770420896 in words is "two billion, seven hundred seventy million, four hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 61 62 72 93 96 122 124 144 183 186 244 248 279 288 366 372 488 496 549 558 732 744 976 992 1098 1116 1464 1488 1891 1952 2196 2232 2928 2976 3782 4392 4464 5087 5673 5856 7564 8784 8928 10174 11346 15128 15261 17019 17568 20348 22692 30256 30522 34038 40696 45384 45783 60512 61044 68076 81392 90768 91566 122088 136152 157697 162784 181536 183132 244176 272304 310307 315394 366264 473091 488352 544608 620614 630788 732528 930921 946182 1241228 1261576 1419273 1465056 1861842 1892364 2482456 2523152 2792763 2838546 3723684 3784728 4964912 5046304 5585526 5677092 7447368 7569456 9619517 9929824 11171052 11354184 14894736 15138912 19239034 22342104 22708368 28858551 29789472 38478068 44684208 45416736 57717102 76956136 86575653 89368416 115434204 153912272 173151306 230868408 307824544 346302612 461736816 692605224 923473632 1385210448 2770420896