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445051709550 = 2345273320377
BaseRepresentation
bin1100111100111110010…
…01100010100001101110
31120112202102022100020000
412132133021202201232
524242431214201200
6540242014405130
744103540054000
oct6363711424156
91515672270200
10445051709550
111618220a6608
1272306b007a6
1332c78185a46
141777d652370
15b89bb4d300
hex679f26286e

445051709550 has 240 divisors, whose sum is σ = 1442085453600. Its totient is φ = 101725787520.

The previous prime is 445051709549. The next prime is 445051709561. The reversal of 445051709550 is 55907150544.

It is a happy number.

445051709550 is a `hidden beast` number, since 4 + 4 + 505 + 1 + 7 + 0 + 95 + 50 = 666.

It is a super-2 number, since 2×4450517095502 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 445051709496 and 445051709505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1228962 + ... + 1549338.

It is an arithmetic number, because the mean of its divisors is an integer number (6008689390).

Almost surely, 2445051709550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445051709550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721042726800).

445051709550 is an abundant number, since it is smaller than the sum of its proper divisors (997033744050).

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

445051709550 is a wasteful number, since it uses less digits than its factorization.

445051709550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320422 (or 320394 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 445051709550 in words is "four hundred forty-five billion, fifty-one million, seven hundred nine thousand, five hundred fifty".