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5260408040625 = 355806969539
BaseRepresentation
bin100110010001100100011…
…0000001010110010110001
3200121220000212210020011120
41030203020300022302301
51142141303424300000
615104333104332453
71052023546404513
oct114431060126261
920556025706146
105260408040625
111748a21222781
1270b604014129
132c209253897a
141428685b5bb3
1591c7e1496a0
hex4c8c8c0acb1

5260408040625 has 48 divisors (see below), whose sum is σ = 8767998187200. Its totient is φ = 2805162920000.

The previous prime is 5260408040623. The next prime is 5260408040681.

It is a happy number.

5260408040625 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5260408040625 - 21 = 5260408040623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5260408040623) 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 47 ways as a sum of consecutive naturals, for example, 75612106 + ... + 75681644.

It is an arithmetic number, because the mean of its divisors is an integer number (182666628900).

Almost surely, 25260408040625 is an apocalyptic number.

It is an amenable number.

5260408040625 is a deficient number, since it is larger than the sum of its proper divisors (3507590146575).

5260408040625 is an frugal number, since it uses more digits than its factorization.

5260408040625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77636 (or 77616 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 5260408040625 in words is "five trillion, two hundred sixty billion, four hundred eight million, forty thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 375 625 1875 3125 8069 9375 24207 40345 69539 121035 201725 208617 347695 605175 1008625 1043085 1738475 3025875 5043125 5215425 8692375 15129375 25215625 26077125 43461875 75646875 130385625 217309375 561110191 651928125 1683330573 2805550955 8416652865 14027754775 42083264325 70138773875 210416321625 350693869375 1052081608125 1753469346875 5260408040625