Search a number
-
+
10406032544525 = 523767325951521
BaseRepresentation
bin1001011101101101011111…
…0111111001001100001101
31100211210210022002122012012
42113123113313321030031
52330443023312411100
634044244303351005
72122545121130552
oct227332767711415
940753708078165
1010406032544525
1133521a00a5402
1212009132b2465
135a6391518827
1427d924572a29
15130a41252135
hex976d7df930d

10406032544525 has 48 divisors (see below), whose sum is σ = 13454405618880. Its totient is φ = 7976334643200.

The previous prime is 10406032544513. The next prime is 10406032544527. The reversal of 10406032544525 is 52544523060401.

It is not a de Polignac number, because 10406032544525 - 214 = 10406032528141 is a prime.

It is a super-2 number, since 2×104060325445252 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406032544527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201950765 + ... + 202002285.

It is an arithmetic number, because the mean of its divisors is an integer number (280300117060).

Almost surely, 210406032544525 is an apocalyptic number.

It is an amenable number.

10406032544525 is a deficient number, since it is larger than the sum of its proper divisors (3048373074355).

10406032544525 is a wasteful number, since it uses less digits than its factorization.

10406032544525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54894 (or 54889 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

The spelling of 10406032544525 in words is "ten trillion, four hundred six billion, thirty-two million, five hundred forty-four thousand, five hundred twenty-five".

Divisors: 1 5 25 37 67 185 335 925 1675 2479 3259 12395 16295 51521 61975 81475 120583 218353 257605 602915 1091765 1288025 1906277 3014575 3451907 5458825 8079061 9531385 17259535 40395305 47656925 86297675 127720559 167906939 201976525 638602795 839534695 3193013975 4197673475 6212556743 11249764913 31062783715 56248824565 155313918575 281244122825 416241301781 2081206508905 10406032544525