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45780691437 = 321313121512
BaseRepresentation
bin101010101000101111…
…011110100111101101
311101011112110002101100
4222220233132213231
51222224324111222
633010435033313
73210326312415
oct525057364755
9141145402340
1045780691437
1118463009088
128a57a3b839
134417893540
14230420d645
1512ce24e4ac
hexaa8bde9ed

45780691437 has 54 divisors (see below), whose sum is σ = 72240573678. Its totient is φ = 27772524000.

The previous prime is 45780691421. The next prime is 45780691529. The reversal of 45780691437 is 73419608754.

45780691437 is a `hidden beast` number, since 4 + 578 + 0 + 69 + 1 + 4 + 3 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31694324841 + 14086366596 = 178029^2 + 118686^2 .

It is not a de Polignac number, because 45780691437 - 24 = 45780691421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45780691837) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 303183312 + ... + 303183462.

Almost surely, 245780691437 is an apocalyptic number.

It is an amenable number.

45780691437 is a deficient number, since it is larger than the sum of its proper divisors (26459882241).

45780691437 is a wasteful number, since it uses less digits than its factorization.

45780691437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 45780691437 in words is "forty-five billion, seven hundred eighty million, six hundred ninety-one thousand, four hundred thirty-seven".

Divisors: 1 3 9 13 39 117 131 151 393 453 1179 1359 1703 1963 5109 5889 15327 17161 17667 19781 22801 51483 59343 68403 154449 178029 205209 223093 257153 296413 669279 771459 889239 2007837 2314377 2591311 2667717 2986931 7773933 8960793 23321799 26882379 33687043 38830103 101061129 116490309 303183387 349470927 391287961 1173863883 3521591649 5086743493 15260230479 45780691437