Search a number
-
+
1290003763790 = 257432711581449
BaseRepresentation
bin10010110001011010001…
…101110101001001001110
311120022201120200001001102
4102301122031311021032
5132113411430420130
62424341453343102
7162125332033520
oct22613215651116
94508646601042
101290003763790
114580a6548a55
1218a017797a92
1394854127181
1446617b25a10
152385155c645
hex12c5a37524e

1290003763790 has 64 divisors (see below), whose sum is σ = 2725458278400. Its totient is φ = 430406887680.

The previous prime is 1290003763771. The next prime is 1290003763817. The reversal of 1290003763790 is 973673000921.

It is a happy number.

It is a super-2 number, since 2×12900037637902 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24986 + ... + 1606434.

It is an arithmetic number, because the mean of its divisors is an integer number (42585285600).

Almost surely, 21290003763790 is an apocalyptic number.

1290003763790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1290003763790 is an abundant number, since it is smaller than the sum of its proper divisors (1435454514610).

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

1290003763790 is a wasteful number, since it uses less digits than its factorization.

1290003763790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581777.

The product of its (nonzero) digits is 428652, while the sum is 47.

The spelling of 1290003763790 in words is "one trillion, two hundred ninety billion, three million, seven hundred sixty-three thousand, seven hundred ninety".

Divisors: 1 2 5 7 10 14 35 43 70 86 215 271 301 430 542 602 1355 1505 1897 2710 3010 3794 9485 11653 18970 23306 58265 81571 116530 163142 407855 815710 1581449 3162898 7907245 11070143 15814490 22140286 55350715 68002307 110701430 136004614 340011535 428572679 476016149 680023070 857145358 952032298 2142863395 2380080745 3000008753 4285726790 4760161490 6000017506 15000043765 18428625197 30000087530 36857250394 92143125985 129000376379 184286251970 258000752758 645001881895 1290003763790