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3973574125 = 53313101561
BaseRepresentation
bin1110110011010111…
…1110110111101101
3101020220222110222001
43230311332313231
531114213333000
61454143252301
7200316552133
oct35465766755
911226873861
103973574125
111759a85064
1292a8aa091
134b42cb4c1
14299a35753
15183ca546a
hexecd7eded

3973574125 has 16 divisors (see below), whose sum is σ = 4974913008. Its totient is φ = 3168672000.

The previous prime is 3973574071. The next prime is 3973574147. The reversal of 3973574125 is 5214753793.

It can be written as a sum of positive squares in 8 ways, for example, as 3611889801 + 361684324 = 60099^2 + 19018^2 .

It is not a de Polignac number, because 3973574125 - 213 = 3973565933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11656 + ... + 89905.

It is an arithmetic number, because the mean of its divisors is an integer number (310932063).

Almost surely, 23973574125 is an apocalyptic number.

It is an amenable number.

3973574125 is a deficient number, since it is larger than the sum of its proper divisors (1001338883).

3973574125 is a wasteful number, since it uses less digits than its factorization.

3973574125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101889 (or 101879 counting only the distinct ones).

The product of its digits is 793800, while the sum is 46.

The square root of 3973574125 is about 63036.2921260443. The cubic root of 3973574125 is about 1583.8976203524.

The spelling of 3973574125 in words is "three billion, nine hundred seventy-three million, five hundred seventy-four thousand, one hundred twenty-five".

Divisors: 1 5 25 125 313 1565 7825 39125 101561 507805 2539025 12695125 31788593 158942965 794714825 3973574125