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45579556932 = 223713259316097
BaseRepresentation
bin101010011100110000…
…001101100001000100
311100122111222101201020
4222130300031201010
51221321331310212
632534452031140
73202334561430
oct523460154104
9140574871636
1045579556932
111836a520818
128a006024b0
1343b4ccca40
1422c56139c0
1512bb76dd8c
hexa9cc0d844

45579556932 has 96 divisors (see below), whose sum is σ = 130953752832. Its totient is φ = 12015599616.

The previous prime is 45579556927. The next prime is 45579556933. The reversal of 45579556932 is 23965597554.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45579556933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2823508 + ... + 2839604.

It is an arithmetic number, because the mean of its divisors is an integer number (1364101592).

Almost surely, 245579556932 is an apocalyptic number.

45579556932 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45579556932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65476876416).

45579556932 is an abundant number, since it is smaller than the sum of its proper divisors (85374195900).

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

45579556932 is a wasteful number, since it uses less digits than its factorization.

45579556932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18717 (or 18715 counting only the distinct ones).

The product of its digits is 51030000, while the sum is 60.

The spelling of 45579556932 in words is "forty-five billion, five hundred seventy-nine million, five hundred fifty-six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 2593 5186 7779 10372 15558 16097 18151 31116 32194 33709 36302 48291 54453 64388 67418 72604 96582 101127 108906 112679 134836 193164 202254 209261 217812 225358 235963 338037 404508 418522 450716 471926 627783 676074 707889 837044 943852 1255566 1352148 1415778 1464827 2511132 2831556 2929654 4394481 5859308 8788962 17577924 41739521 83479042 125218563 166958084 250437126 292176647 500874252 542613773 584353294 876529941 1085227546 1168706588 1627841319 1753059882 2170455092 3255682638 3506119764 3798296411 6511365276 7596592822 11394889233 15193185644 22789778466 45579556932