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10980105796 = 221144332
BaseRepresentation
bin10100011100111011…
…10001111001000100
31001100020000011112001
422032131301321010
5134441401341141
65013313435044
7536045234152
oct121635617104
931306004461
1010980105796
114724a90000
12216526ba84
13105ca8042a
147623b23d2
15443e5ea31
hex28e771e44

10980105796 has 45 divisors (see below), whose sum is σ = 21185499405. Its totient is φ = 4979430720.

The previous prime is 10980105793. The next prime is 10980105797. The reversal of 10980105796 is 69750108901.

It is a happy number.

The square root of 10980105796 is 104786.

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

10980105796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1231308100 + 9748797696 = 35090^2 + 98736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10980105793) 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 14 ways as a sum of consecutive naturals, for example, 25357996 + ... + 25358428.

Almost surely, 210980105796 is an apocalyptic number.

10980105796 is the 104786-th square number.

It is an amenable number.

10980105796 is a deficient number, since it is larger than the sum of its proper divisors (10205393609).

10980105796 is an frugal number, since it uses more digits than its factorization.

10980105796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 46.

The spelling of 10980105796 in words is "ten billion, nine hundred eighty million, one hundred five thousand, seven hundred ninety-six".

Divisors: 1 2 4 11 22 44 121 242 433 484 866 1331 1732 2662 4763 5324 9526 14641 19052 29282 52393 58564 104786 187489 209572 374978 576323 749956 1152646 2062379 2305292 4124758 6339553 8249516 12679106 22686169 25358212 45372338 90744676 249547859 499095718 998191436 2745026449 5490052898 10980105796