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2770230846344 = 2313711374795717
BaseRepresentation
bin101000010011111110101…
…000000010001110001000
3100210211110011001220020012
4220103332220002032020
5330341413044040334
65520343153051052
7404066621450453
oct50237650021610
910724404056205
102770230846344
11978937102855
12388a80856a88
13171301c13210
14981192dc49a
154c0d7a949ce
hex284fea02388

2770230846344 has 128 divisors (see below), whose sum is σ = 5726856038400. Its totient is φ = 1248528046080.

The previous prime is 2770230846343. The next prime is 2770230846389. The reversal of 2770230846344 is 4436480320772.

It is a junction number, because it is equal to n+sod(n) for n = 2770230846292 and 2770230846301.

It is not an unprimeable number, because it can be changed into a prime (2770230846343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 484557374 + ... + 484563090.

It is an arithmetic number, because the mean of its divisors is an integer number (44741062800).

Almost surely, 22770230846344 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 2770230846344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863428019200).

2770230846344 is an abundant number, since it is smaller than the sum of its proper divisors (2956625192056).

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

2770230846344 is a wasteful number, since it uses less digits than its factorization.

2770230846344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6423 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 50.

The spelling of 2770230846344 in words is "two trillion, seven hundred seventy billion, two hundred thirty million, eight hundred forty-six thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 71 104 137 142 274 284 479 548 568 923 958 1096 1781 1846 1916 3562 3692 3832 5717 6227 7124 7384 9727 11434 12454 14248 19454 22868 24908 34009 38908 45736 49816 65623 68018 74321 77816 126451 131246 136036 148642 252902 262492 272072 297284 405907 442117 505804 524984 594568 783229 811814 853099 884234 1011608 1566458 1623628 1706198 1768468 2738443 3132916 3247256 3412396 3536936 4659233 5276791 5476886 6265832 6824792 9318466 10181977 10553582 10953772 18636932 20363954 21107164 21907544 35599759 37273864 40727908 42214328 55609259 60570029 71199518 81455816 111218518 121140058 142399036 194429453 222437036 242280116 284798072 375166691 388858906 444874072 484560232 722920367 750333382 777717812 1445840734 1500666764 1555435624 2527582889 2891681468 3001333528 4877166983 5055165778 5783362936 9754333966 10110331556 19508667932 20220663112 26636835061 39017335864 53273670122 106547340244 213094680488 346278855793 692557711586 1385115423172 2770230846344