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10376478225 = 325267912
BaseRepresentation
bin10011010100111110…
…00111111000010001
3222210011011201011100
421222133013320101
5132222334300400
64433351535013
7515065416051
oct115237077021
928704151140
1010376478225
114445284743
12201708a469
13c949b4659
14706163561
1540ae77100
hex26a7c7e11

10376478225 has 27 divisors (see below), whose sum is σ = 18588162619. Its totient is φ = 5533306800.

The previous prime is 10376478223. The next prime is 10376478247. The reversal of 10376478225 is 52287467301.

The square root of 10376478225 is 101865.

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

10376478225 is a `hidden beast` number, since 10 + 376 + 47 + 8 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3735532161 + 6640946064 = 61119^2 + 81492^2 .

It is not a de Polignac number, because 10376478225 - 21 = 10376478223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10376478223) 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, 1524580 + ... + 1531370.

Almost surely, 210376478225 is an apocalyptic number.

10376478225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10376478225 is the 101865-th square number.

10376478225 is the 50933-rd centered octagonal number.

It is an amenable number.

10376478225 is a deficient number, since it is larger than the sum of its proper divisors (8211684394).

10376478225 is an frugal number, since it uses more digits than its factorization.

10376478225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13598 (or 6799 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

It can be divided in two parts, 10376 and 478225, that added together give a square (488601 = 6992).

The spelling of 10376478225 in words is "ten billion, three hundred seventy-six million, four hundred seventy-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 6791 20373 33955 61119 101865 169775 305595 509325 1527975 46117681 138353043 230588405 415059129 691765215 1152942025 2075295645 3458826075 10376478225