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18921378025 = 52112412612
BaseRepresentation
bin10001100111110011…
…010101000011101001
31210211122220121001201
4101213303111003221
5302222333044100
612405314444201
71236614026264
oct214763250351
953748817051
1018921378025
11802a696400
123800893661
131a270a0694
14cb6d4dcdb
1575b20936a
hex467cd50e9

18921378025 has 81 divisors (see below), whose sum is σ = 26874163407. Its totient is φ = 13205280000.

The previous prime is 18921378013. The next prime is 18921378043. The reversal of 18921378025 is 52087312981.

It is a happy number.

The square root of 18921378025 is 137555.

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 14173616809 + 4747761216 = 119053^2 + 68904^2 .

It is not a de Polignac number, because 18921378025 - 27 = 18921377897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 310186495 + ... + 310186555.

Almost surely, 218921378025 is an apocalyptic number.

18921378025 is the 137555-th square number.

18921378025 is the 68778-th centered octagonal number.

It is an amenable number.

18921378025 is a deficient number, since it is larger than the sum of its proper divisors (7952785382).

18921378025 is an equidigital number, since it uses as much as digits as its factorization.

18921378025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 18921378025 in words is "eighteen billion, nine hundred twenty-one million, three hundred seventy-eight thousand, twenty-five".

Divisors: 1 5 11 25 41 55 61 121 205 275 305 451 605 671 1025 1525 1681 2255 2501 3025 3355 3721 4961 7381 8405 11275 12505 16775 18491 18605 24805 27511 36905 40931 42025 62525 92455 93025 102541 124025 137555 152561 184525 203401 204655 302621 450241 462275 512705 687775 762805 1017005 1023275 1127951 1513105 1678171 2251205 2563525 3814025 5085025 5639755 6255001 7565525 8390855 11256025 12407461 18459881 28198775 31275005 41954275 62037305 68805011 92299405 156375025 310186525 344025055 461497025 756855121 1720125275 3784275605 18921378025