Search a number
-
+
26115840653956 = 2237253213032
BaseRepresentation
bin1011111000000100100010…
…11001111011101010000100
310102110122112211121222220221
411330002101121323222010
511410340220201411311
6131313241312234124
75333543606605144
oct574022131735204
9112418484558827
1026115840653956
118359736235339
122b1951223b944
131175936bb7591
14664028c00924
153044eda75671
hex17c09167ba84

26115840653956 has 81 divisors (see below), whose sum is σ = 47911056551631. Its totient is φ = 12455719907904.

The previous prime is 26115840653951. The next prime is 26115840653977. The reversal of 26115840653956 is 65935604851162.

The square root of 26115840653956 is 5110366.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10425368999556 + 15690471654400 = 3228834^2 + 3961120^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26115840653894 and 26115840653903.

It is not an unprimeable number, because it can be changed into a prime (26115840653951) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20042854801 + ... + 20042856103.

Almost surely, 226115840653956 is an apocalyptic number.

26115840653956 is the 5110366-th square number.

It is an amenable number.

26115840653956 is a deficient number, since it is larger than the sum of its proper divisors (21795215897675).

26115840653956 is an frugal number, since it uses more digits than its factorization.

26115840653956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 61.

The spelling of 26115840653956 in words is "twenty-six trillion, one hundred fifteen billion, eight hundred forty million, six hundred fifty-three thousand, nine hundred fifty-six".

Divisors: 1 2 4 37 53 74 106 148 212 1303 1369 1961 2606 2738 2809 3922 5212 5476 5618 7844 11236 48211 69059 72557 96422 103933 138118 145114 192844 207866 276236 290228 415732 1697809 1783807 2555183 3395618 3567614 3660127 3845521 5110366 6791236 7135228 7320254 7691042 10220732 14640508 15382084 62818933 89983877 94541771 125637866 135424699 179967754 189083542 251275732 270849398 359935508 378167084 541698796 2324300521 3329403449 4648601042 4769145481 5010713863 6658806898 9297202084 9538290962 10021427726 13317613796 19076581924 20042855452 123187927613 176458382797 246375855226 352916765594 492751710452 705833531188 6528960163489 13057920326978 26115840653956