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10973610025 = 5272412732
BaseRepresentation
bin10100011100001010…
…00000000000101001
31001022202210010222221
422032011000000221
5134433221010100
65012522314041
7535636101100
oct121605000051
931282703887
1010973610025
1147213536a4
122163058921
13105b617891
147615a1037
154435ca01a
hex28e140029

10973610025 has 81 divisors (see below), whose sum is σ = 16449655023. Its totient is φ = 7240665600.

The previous prime is 10973610023. The next prime is 10973610059. The reversal of 10973610025 is 52001637901.

The square root of 10973610025 is 104755.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10737311641 + 236298384 = 103621^2 + 15372^2 .

It is not a de Polignac number, because 10973610025 - 21 = 10973610023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10973610023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 150323389 + ... + 150323461.

Almost surely, 210973610025 is an apocalyptic number.

10973610025 is the 104755-th square number.

10973610025 is the 52378-th centered octagonal number.

It is an amenable number.

10973610025 is a deficient number, since it is larger than the sum of its proper divisors (5476044998).

10973610025 is an frugal number, since it uses more digits than its factorization.

10973610025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The spelling of 10973610025 in words is "ten billion, nine hundred seventy-three million, six hundred ten thousand, twenty-five".

Divisors: 1 5 7 25 35 41 49 73 175 205 245 287 365 511 1025 1225 1435 1681 1825 2009 2555 2993 3577 5329 7175 8405 10045 11767 12775 14965 17885 20951 26645 37303 42025 50225 58835 74825 82369 89425 104755 122713 133225 146657 186515 218489 261121 294175 411845 523775 613565 733285 858991 932575 1092445 1305605 1529423 2059225 3067825 3666425 4294955 5462225 6012937 6528025 7647115 8958049 10705961 21474775 30064685 38235575 44790245 53529805 62706343 150323425 223951225 267649025 313531715 438944401 1567658575 2194722005 10973610025