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444899196000 = 25335371095399
BaseRepresentation
bin1100111100101100000…
…11101111110001100000
31120112100210022211222000
412132112003233301200
524242123143233000
6540214525444000
744100005525040
oct6362603576140
91515323284860
10444899196000
11161753aa7956
1272283a10600
1332c526b6a3c
14177672b1720
15b88d574000
hex67960efc60

444899196000 has 768 divisors, whose sum is σ = 1868106240000. Its totient is φ = 100739635200.

The previous prime is 444899195999. The next prime is 444899196017. The reversal of 444899196000 is 691998444.

It is a happy number.

444899196000 is a `hidden beast` number, since 4 + 448 + 9 + 9 + 196 + 0 + 0 + 0 = 666.

444899196000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82401301 + ... + 82406699.

It is an arithmetic number, because the mean of its divisors is an integer number (2432430000).

Almost surely, 2444899196000 is an apocalyptic number.

444899196000 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 444899196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934053120000).

444899196000 is an abundant number, since it is smaller than the sum of its proper divisors (1423207044000).

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

444899196000 is a wasteful number, since it uses less digits than its factorization.

444899196000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 444899196000 in words is "four hundred forty-four billion, eight hundred ninety-nine million, one hundred ninety-six thousand".