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5743972521 = 36724012
BaseRepresentation
bin1010101100101111…
…00001000010101001
3112211022022001000000
411112113201002221
543230424110041
62345545133213
7262224650400
oct52627410251
915738261000
105743972521
112488360631
12114378a209
13707025a11
143c6c04637
15239412bb6
hex1565e10a9

5743972521 has 63 divisors (see below), whose sum is σ = 10043108103. Its totient is φ = 3274084800.

The previous prime is 5743972489. The next prime is 5743972523. The reversal of 5743972521 is 1252793475.

It is a happy number.

The square root of 5743972521 is 75789.

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

5743972521 is a `hidden beast` number, since 5 + 7 + 4 + 397 + 252 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5686818921 + 57153600 = 75411^2 + 7560^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 5743972521 - 25 = 5743972489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5743972523) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 14323921 + ... + 14324321.

Almost surely, 25743972521 is an apocalyptic number.

5743972521 is the 75789-th square number.

5743972521 is the 37895-th centered octagonal number.

It is an amenable number.

5743972521 is a deficient number, since it is larger than the sum of its proper divisors (4299135582).

5743972521 is an frugal number, since it uses more digits than its factorization.

5743972521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 411 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The cubic root of 5743972521 is about 1790.8977240149.

The spelling of 5743972521 in words is "five billion, seven hundred forty-three million, nine hundred seventy-two thousand, five hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 401 441 567 729 1203 1323 1701 2807 3609 3969 5103 8421 10827 11907 19649 25263 32481 35721 58947 75789 97443 160801 176841 227367 292329 482403 530523 682101 1125607 1447209 1591569 2046303 3376821 4341627 4774707 7879249 10130463 13024881 14324121 23637747 30391389 39074643 70913241 91174167 117223929 212739723 273522501 638219169 820567503 1914657507 5743972521