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57938897025 = 365217832
BaseRepresentation
bin110101111101011011…
…010110100010000001
312112112212020221000000
4311331123112202001
51422124324201100
642341115350213
74120531333062
oct657533264201
9175485227000
1057938897025
1122631aa6979
12b28b752369
13560473ab29
142b38c50569
151791820900
hexd7d6d6881

57938897025 has 63 divisors (see below), whose sum is σ = 107777519859. Its totient is φ = 30883414320.

The previous prime is 57938897011. The next prime is 57938897059. The reversal of 57938897025 is 52079883975.

The square root of 57938897025 is 240705.

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

57938897025 is a `hidden beast` number, since 579 + 38 + 8 + 9 + 7 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20858002929 + 37080894096 = 144423^2 + 192564^2 .

It is not a de Polignac number, because 57938897025 - 25 = 57938896993 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 32494284 + ... + 32496066.

Almost surely, 257938897025 is an apocalyptic number.

57938897025 is the 240705-th square number.

57938897025 is the 120353-rd centered octagonal number.

It is an amenable number.

57938897025 is a deficient number, since it is larger than the sum of its proper divisors (49838622834).

57938897025 is an frugal number, since it uses more digits than its factorization.

57938897025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 57938897025 in words is "fifty-seven billion, nine hundred thirty-eight million, eight hundred ninety-seven thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 1783 2025 3645 5349 6075 8915 16047 18225 26745 44575 48141 80235 133725 144423 240705 401175 433269 722115 1203525 1299807 2166345 3179089 3610575 6499035 9537267 10831725 15895445 28611801 32495175 47686335 79477225 85835403 143059005 238431675 257506209 429177015 715295025 772518627 1287531045 2145885075 2317555881 3862593135 6437655225 11587779405 19312965675 57938897025