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44950225536 = 273519233307
BaseRepresentation
bin101001110111001111…
…100000001010000000
311022000122210001100000
4221313033200022000
51214024224204121
632352211200000
73150623420136
oct516717401200
9138018701300
1044950225536
1118077259827
1288658a6000
1343148045b8
142265bd3756
1512813aa526
hexa773e0280

44950225536 has 384 divisors, whose sum is σ = 147383308800. Its totient is φ = 13573536768.

The previous prime is 44950225499. The next prime is 44950225597. The reversal of 44950225536 is 63552205944.

44950225536 is a `hidden beast` number, since 4 + 4 + 95 + 0 + 2 + 2 + 553 + 6 = 666.

44950225536 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 44950225491 and 44950225500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13590795 + ... + 13594101.

It is an arithmetic number, because the mean of its divisors is an integer number (383810700).

Almost surely, 244950225536 is an apocalyptic number.

44950225536 is a gapful number since it is divisible by the number (46) 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 44950225536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73691654400).

44950225536 is an abundant number, since it is smaller than the sum of its proper divisors (102433083264).

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

44950225536 is a wasteful number, since it uses less digits than its factorization.

44950225536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 44950225536 in words is "forty-four billion, nine hundred fifty million, two hundred twenty-five thousand, five hundred thirty-six".