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42486448000 = 27532655403
BaseRepresentation
bin100111100100011000…
…111011111110000000
311001122221202011221011
4213210120323332000
51144003012314000
631303520010304
73032565564223
oct474430737600
9131587664834
1042486448000
1117022546247
128298760994
134011248479
1420b08d15ba
151189e372ba
hex9e463bf80

42486448000 has 64 divisors (see below), whose sum is σ = 105631971120. Its totient is φ = 16994572800.

The previous prime is 42486447977. The next prime is 42486448027. The reversal of 42486448000 is 84468424.

42486448000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1311702 + ... + 1343701.

Almost surely, 242486448000 is an apocalyptic number.

42486448000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42486448000 is an abundant number, since it is smaller than the sum of its proper divisors (63145523120).

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

42486448000 is an equidigital number, since it uses as much as digits as its factorization.

42486448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655432 (or 2655410 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The spelling of 42486448000 in words is "forty-two billion, four hundred eighty-six million, four hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 2655403 5310806 10621612 13277015 21243224 26554030 42486448 53108060 66385075 84972896 106216120 132770150 169945792 212432240 265540300 331925375 339891584 424864480 531080600 663850750 849728960 1062161200 1327701500 1699457920 2124322400 2655403000 4248644800 5310806000 8497289600 10621612000 21243224000 42486448000