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4994524800000 = 21036552141
BaseRepresentation
bin100100010101110000011…
…1000000110010000000000
3122200110202000120011000000
41020223200320012100000
51123312241322100000
614342241504000000
71023561660221001
oct110534070062000
918613660504000
104994524800000
11165619105178a
12687b80300000
132a2c9b954758
14133a445471a8
1589dbbc00000
hex48ae0e06400

4994524800000 has 924 divisors, whose sum is σ = 18719304551892. Its totient is φ = 1331251200000.

The previous prime is 4994524799989. The next prime is 4994524800019. The reversal of 4994524800000 is 84254994.

4994524800000 is a `hidden beast` number, since 49 + 9 + 4 + 524 + 80 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2847291761664 + 2147233038336 = 1687392^2 + 1465344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 83 ways as a sum of consecutive naturals, for example, 2332798930 + ... + 2332801070.

Almost surely, 24994524800000 is an apocalyptic number.

4994524800000 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 4994524800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359652275946).

4994524800000 is an abundant number, since it is smaller than the sum of its proper divisors (13724779751892).

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

4994524800000 is an frugal number, since it uses more digits than its factorization.

4994524800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4994524800000 in words is "four trillion, nine hundred ninety-four billion, five hundred twenty-four million, eight hundred thousand".