Search a number
-
+
1078320250084 = 22721146132
BaseRepresentation
bin11111011000100001110…
…01010011110011100100
310211002022222210100210011
433230100321103303210
5120131344441000314
62143212401140004
7140622531615400
oct17542071236344
93732288710704
101078320250084
11386349740000
12154b9b32a604
137a8ba3c429c
143a29608c100
151d0b25314c4
hexfb10e53ce4

1078320250084 has 135 divisors (see below), whose sum is σ = 2418597637785. Its totient is φ = 419439414240.

The previous prime is 1078320250069. The next prime is 1078320250103. The reversal of 1078320250084 is 4800520238701.

It is a happy number.

The square root of 1078320250084 is 1038422.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3515304100 + 1074804945984 = 59290^2 + 1036728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1759086562 + ... + 1759087174.

Almost surely, 21078320250084 is an apocalyptic number.

1078320250084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1078320250084 is the 1038422-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1078320250084

1078320250084 is an abundant number, since it is smaller than the sum of its proper divisors (1340277387701).

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

1078320250084 is an frugal number, since it uses more digits than its factorization.

1078320250084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

Adding to 1078320250084 its reverse (4800520238701), we get a palindrome (5878840488785).

The spelling of 1078320250084 in words is "one trillion, seventy-eight billion, three hundred twenty million, two hundred fifty thousand, eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 613 847 1078 1226 1331 1694 2156 2452 2662 3388 4291 5324 5929 6743 8582 9317 11858 13486 14641 17164 18634 23716 26972 29282 30037 37268 47201 58564 60074 65219 74173 94402 102487 120148 130438 148346 188804 204974 260876 296692 330407 375769 409948 519211 660814 717409 751538 815903 1038422 1321628 1434818 1503076 1631806 2076844 2630383 2869636 3263612 3634477 4133459 5260766 5711321 7268954 8266918 8974933 10521532 11422642 14537908 16533836 17949866 18412681 22845284 28934213 35899732 36825362 39979247 45468049 57868426 62824531 73650724 79958494 90936098 115736852 125649062 159916988 181872196 202539491 251298124 318276343 405078982 439771717 500148539 636552686 810157964 879543434 1000297078 1273105372 1759086868 2000594156 2227934401 3501039773 4455868802 5501633929 7002079546 8911737604 11003267858 14004159092 22006535716 24507278411 38511437503 49014556822 77022875006 98029113644 154045750012 269580062521 539160125042 1078320250084