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45516691540 = 225113193241433
BaseRepresentation
bin101010011001000000…
…011001100001010100
311100111010200111121101
4222121000121201110
51221204233112130
632524324355444
73200642331415
oct523100314124
9140433614541
1045516691540
1118337a93051
1289a3545b84
1343a4c8b798
1422bb12b80c
1512b5ea21ca
hexa99019854

45516691540 has 96 divisors (see below), whose sum is σ = 97557568416. Its totient is φ = 17836277760.

The previous prime is 45516691529. The next prime is 45516691541. The reversal of 45516691540 is 4519661554.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 32846487696 + 12670203844 = 181236^2 + 112562^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45516691541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105119164 + ... + 105119596.

It is an arithmetic number, because the mean of its divisors is an integer number (1016224671).

Almost surely, 245516691540 is an apocalyptic number.

It is an amenable number.

45516691540 is an abundant number, since it is smaller than the sum of its proper divisors (52040876876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45516691540 is a wasteful number, since it uses less digits than its factorization.

45516691540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 46.

The spelling of 45516691540 in words is "forty-five billion, five hundred sixteen million, six hundred ninety-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 113 193 226 241 386 433 452 482 565 772 866 964 965 1130 1205 1732 1930 2165 2260 2410 3860 4330 4820 8660 21809 27233 43618 46513 48929 54466 83569 87236 93026 97858 104353 108932 109045 136165 167138 186052 195716 208706 218090 232565 244645 272330 334276 417412 417845 436180 465130 489290 521765 544660 835690 930260 978580 1043530 1671380 2087060 5255969 9443297 10511938 11791889 18886594 20140129 21023876 23583778 26279845 37773188 40280258 47167556 47216485 52559690 58959445 80560516 94432970 100700645 105119380 117918890 188865940 201401290 235837780 402802580 2275834577 4551669154 9103338308 11379172885 22758345770 45516691540