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45575932077 = 321317157145949
BaseRepresentation
bin101010011100100010…
…011000100010101101
311100122021011020100100
4222130202120202231
51221314414311302
632534242221313
73202262013354
oct523442304255
9140567136310
1045575932077
1118368475375
1289bb354839
1343b4330b60
1422c4d4c99b
1512bb2a4d1c
hexa9c8988ad

45575932077 has 48 divisors (see below), whose sum is σ = 75544887600. Its totient is φ = 26228606976.

The previous prime is 45575932057. The next prime is 45575932079. The reversal of 45575932077 is 77023957554.

45575932077 is a `hidden beast` number, since 4 + 557 + 59 + 32 + 0 + 7 + 7 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2276148681 + 43299783396 = 47709^2 + 208086^2 .

It is not a de Polignac number, because 45575932077 - 210 = 45575931053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45575932079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239299 + ... + 385247.

It is an arithmetic number, because the mean of its divisors is an integer number (1573851825).

Almost surely, 245575932077 is an apocalyptic number.

It is an amenable number.

45575932077 is a deficient number, since it is larger than the sum of its proper divisors (29968955523).

45575932077 is a wasteful number, since it uses less digits than its factorization.

45575932077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146142 (or 146139 counting only the distinct ones).

The product of its (nonzero) digits is 9261000, while the sum is 54.

The spelling of 45575932077 in words is "forty-five billion, five hundred seventy-five million, nine hundred thirty-two thousand, seventy-seven".

Divisors: 1 3 9 13 17 39 51 117 153 157 221 471 663 1413 1989 2041 2669 6123 8007 18369 24021 34697 104091 145949 312273 437847 1313541 1897337 2481133 5692011 7443399 17076033 22330197 22913993 32254729 68741979 96764187 206225937 290292561 297881909 389537881 893645727 1168613643 2680937181 3505840929 5063992453 15191977359 45575932077