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10354080025 = 524724332
BaseRepresentation
bin10011010010010011…
…01011100100011001
3222201121000202121101
421221021223210121
5132201121030100
64431231511401
7514404141142
oct115111534431
928647022541
1010354080025
114433676633
12200b688561
13c90171793
147031b2ac9
1540900086a
hex26926b919

10354080025 has 27 divisors (see below), whose sum is σ = 13148408541. Its totient is φ = 8088301440.

The previous prime is 10354079987. The next prime is 10354080029. The reversal of 10354080025 is 52008045301.

The square root of 10354080025 is 101755.

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 3165075081 + 7189004944 = 56259^2 + 84788^2 .

It is not a de Polignac number, because 10354080025 - 211 = 10354077977 is a prime.

It is a super-3 number, since 3×103540800253 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10354079975 and 10354080002.

It is not an unprimeable number, because it can be changed into a prime (10354080029) 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, 23912209 + ... + 23912641.

Almost surely, 210354080025 is an apocalyptic number.

10354080025 is the 101755-th square number.

10354080025 is the 50878-th centered octagonal number.

It is an amenable number.

10354080025 is a deficient number, since it is larger than the sum of its proper divisors (2794328516).

10354080025 is an frugal number, since it uses more digits than its factorization.

10354080025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 10354080025 in words is "ten billion, three hundred fifty-four million, eighty thousand, twenty-five".

Divisors: 1 5 25 47 235 433 1175 2165 2209 10825 11045 20351 55225 101755 187489 508775 937445 956497 4687225 4782485 8811983 23912425 44059915 220299575 414163201 2070816005 10354080025