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45863680000 = 2115435831
BaseRepresentation
bin101010101101101100…
…000011100000000000
311101101022121100021211
4222231230003200000
51222412100230000
633023001455504
73212354563525
oct525554034000
9141338540254
1045863680000
11184a5940676
128a7b7a1594
13442bb2bcb8
14231125314c
1512d66937ba
hexaadb03800

45863680000 has 120 divisors (see below), whose sum is σ = 114597723240. Its totient is φ = 18344960000.

The previous prime is 45863679973. The next prime is 45863680001. The reversal of 45863680000 is 8636854.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45863680001) 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 9 ways as a sum of consecutive naturals, for example, 1262085 + ... + 1297915.

It is an arithmetic number, because the mean of its divisors is an integer number (954981027).

Almost surely, 245863680000 is an apocalyptic number.

45863680000 is a gapful number since it is divisible by the number (40) 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 45863680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57298861620).

45863680000 is an abundant number, since it is smaller than the sum of its proper divisors (68734043240).

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

45863680000 is an frugal number, since it uses more digits than its factorization.

45863680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35873 (or 35838 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 45863680000 in words is "forty-five billion, eight hundred sixty-three million, six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3200 4000 5000 5120 6400 8000 10000 10240 12800 16000 20000 25600 32000 35831 40000 51200 64000 71662 80000 128000 143324 160000 179155 256000 286648 320000 358310 573296 640000 716620 895775 1146592 1280000 1433240 1791550 2293184 2866480 3583100 4478875 4586368 5732960 7166200 8957750 9172736 11465920 14332400 17915500 18345472 22394375 22931840 28664800 35831000 36690944 44788750 45863680 57329600 71662000 73381888 89577500 91727360 114659200 143324000 179155000 183454720 229318400 286648000 358310000 366909440 458636800 573296000 716620000 917273600 1146592000 1433240000 1834547200 2293184000 2866480000 4586368000 5732960000 9172736000 11465920000 22931840000 45863680000