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475334408025 = 365251072
BaseRepresentation
bin1101110101011000010…
…00110111011101011001
31200102220212112211000000
412322230020313131121
530241441102024100
61002210550003213
746225141542441
oct6725410673531
91612825484000
10475334408025
11173651977144
1278158646509
1335a92c9b839
1419013449121
15c5704b9900
hex6eac237759

475334408025 has 63 divisors (see below), whose sum is σ = 883890810831. Its totient is φ = 253462044240.

The previous prime is 475334407997. The next prime is 475334408033. The reversal of 475334408025 is 520804433574.

The square root of 475334408025 is 689445.

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

It can be written as a sum of positive squares in only one way, i.e., 171120386889 + 304214021136 = 413667^2 + 551556^2 .

It is not a de Polignac number, because 475334408025 - 235 = 440974669657 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 93072522 + ... + 93077628.

Almost surely, 2475334408025 is an apocalyptic number.

475334408025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

475334408025 is the 689445-th square number.

475334408025 is the 344723-rd centered octagonal number.

It is an amenable number.

475334408025 is a deficient number, since it is larger than the sum of its proper divisors (408556402806).

475334408025 is an frugal number, since it uses more digits than its factorization.

475334408025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10242 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 475334408025 in words is "four hundred seventy-five billion, three hundred thirty-four million, four hundred eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 2025 3645 5107 6075 15321 18225 25535 45963 76605 127675 137889 229815 383025 413667 689445 1149075 1241001 2068335 3447225 3723003 6205005 10341675 18615015 26081449 31025025 78244347 93075075 130407245 234733041 391221735 652036225 704199123 1173665205 1956108675 2112597369 3520995615 5868326025 6337792107 10562986845 17604978075 19013376321 31688960535 52814934225 95066881605 158444802675 475334408025