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45131032032 = 25323113180883
BaseRepresentation
bin101010000010000001…
…001110010111100000
311022111020222222012220
4222002001032113200
51214412021011112
632422150351040
73155250304602
oct520201162740
9138436888186
1045131032032
111815a322389
1288b635b480
1343430cb5a8
142281c1b172
1512921c298c
hexa8204e5e0

45131032032 has 96 divisors (see below), whose sum is σ = 124714453248. Its totient is φ = 14262183936.

The previous prime is 45131032019. The next prime is 45131032087. The reversal of 45131032032 is 23023013154.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 45131031993 and 45131032011.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 159063 + ... + 339945.

It is an arithmetic number, because the mean of its divisors is an integer number (1299108888).

Almost surely, 245131032032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45131032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62357226624).

45131032032 is an abundant number, since it is smaller than the sum of its proper divisors (79583421216).

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

45131032032 is a wasteful number, since it uses less digits than its factorization.

45131032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181032 (or 181024 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 45131032032 its reverse (23023013154), we get a palindrome (68154045186).

The spelling of 45131032032 in words is "forty-five billion, one hundred thirty-one million, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 113 138 184 226 276 339 368 452 552 678 736 904 1104 1356 1808 2208 2599 2712 3616 5198 5424 7797 10396 10848 15594 20792 31188 41584 62376 83168 124752 180883 249504 361766 542649 723532 1085298 1447064 2170596 2894128 4160309 4341192 5788256 8320618 8682384 12480927 16641236 17364768 20439779 24961854 33282472 40879558 49923708 61319337 66564944 81759116 99847416 122638674 133129888 163518232 199694832 245277348 327036464 399389664 470114917 490554696 654072928 940229834 981109392 1410344751 1880459668 1962218784 2820689502 3760919336 5641379004 7521838672 11282758008 15043677344 22565516016 45131032032