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10926939024 = 24323122812
BaseRepresentation
bin10100010110100101…
…11101101110010000
31001012111222000102100
422023102331232100
5134334244022044
65004134120400
7534531310041
oct121322755620
931174860370
1010926939024
1146a7a77021
12214b4b0100
131051a567c1
147592d28c8
1543e45b869
hex28b4bdb90

10926939024 has 135 divisors (see below), whose sum is σ = 31711384497. Its totient is φ = 3512275200.

The previous prime is 10926939017. The next prime is 10926939031. The reversal of 10926939024 is 42093962901.

It is a happy number.

The square root of 10926939024 is 104532.

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

10926939024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10926939017) and next prime (10926939031).

It can be written as a sum of positive squares in only one way, i.e., 7384308624 + 3542630400 = 85932^2 + 59520^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 38885764 + ... + 38886044.

Almost surely, 210926939024 is an apocalyptic number.

10926939024 is the 104532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10926939024

10926939024 is an abundant number, since it is smaller than the sum of its proper divisors (20784445473).

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

10926939024 is an equidigital number, since it uses as much as digits as its factorization.

10926939024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 10926939024 in words is "ten billion, nine hundred twenty-six million, nine hundred thirty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 281 372 496 558 562 744 843 961 1116 1124 1488 1686 1922 2232 2248 2529 2883 3372 3844 4464 4496 5058 5766 6744 7688 8649 8711 10116 11532 13488 15376 17298 17422 20232 23064 26133 34596 34844 40464 46128 52266 69192 69688 78399 78961 104532 138384 139376 156798 157922 209064 236883 270041 313596 315844 418128 473766 540082 627192 631688 710649 810123 947532 1080164 1254384 1263376 1421298 1620246 1895064 2160328 2430369 2447791 2842596 3240492 3790128 4320656 4860738 4895582 5685192 6480984 7343373 9721476 9791164 11370384 12961968 14686746 19442952 19582328 22030119 29373492 38885904 39164656 44060238 58746984 75881521 88120476 117493968 151763042 176240952 227644563 303526084 352481904 455289126 607052168 682933689 910578252 1214104336 1365867378 1821156504 2731734756 3642313008 5463469512 10926939024