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45623108480 = 275431165397
BaseRepresentation
bin101010011111010110…
…010110001110000000
311100202112221001012112
4222133112112032000
51221414003432410
632543045314452
73203404011035
oct523726261600
9140675831175
1045623108480
1118392067734
128a13105a28
1343c103aca1
1422cb30d38c
1512c04c3105
hexa9f596380

45623108480 has 64 divisors (see below), whose sum is σ = 109321462080. Its totient is φ = 18206791680.

The previous prime is 45623108429. The next prime is 45623108483. The reversal of 45623108480 is 8480132654.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45623108483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193142 + ... + 358538.

It is an arithmetic number, because the mean of its divisors is an integer number (1708147845).

Almost surely, 245623108480 is an apocalyptic number.

45623108480 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 45623108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54660731040).

45623108480 is an abundant number, since it is smaller than the sum of its proper divisors (63698353600).

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

45623108480 is a wasteful number, since it uses less digits than its factorization.

45623108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165847 (or 165835 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 45623108480 in words is "forty-five billion, six hundred twenty-three million, one hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 431 640 862 1724 2155 3448 4310 6896 8620 13792 17240 27584 34480 55168 68960 137920 165397 275840 330794 661588 826985 1323176 1653970 2646352 3307940 5292704 6615880 10585408 13231760 21170816 26463520 52927040 71286107 105854080 142572214 285144428 356430535 570288856 712861070 1140577712 1425722140 2281155424 2851444280 4562310848 5702888560 9124621696 11405777120 22811554240 45623108480