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34245533605648 = 247977109377761
BaseRepresentation
bin1111100100101011010001…
…10111011001111100010000
311111020211201010011222022111
413302111220313121330100
513442034323100340043
6200500103030315104
710133105150535241
oct762255067317420
9144224633158274
1034245533605648
11aa034a3a39772
123a1101bab8a94
131615455b88271
148656c7c5ccc8
153e5c118ec09d
hex1f2568dd9f10

34245533605648 has 40 divisors (see below), whose sum is σ = 66443492891160. Its totient is φ = 17098831933440.

The previous prime is 34245533605627. The next prime is 34245533605649. The reversal of 34245533605648 is 84650633554243.

It can be written as a sum of positive squares in 4 ways, for example, as 1149767241984 + 33095766363664 = 1072272^2 + 5752892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34245533605592 and 34245533605601.

It is not an unprimeable number, because it can be changed into a prime (34245533605649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90465088 + ... + 90842848.

It is an arithmetic number, because the mean of its divisors is an integer number (1661087322279).

Almost surely, 234245533605648 is an apocalyptic number.

It is an amenable number.

34245533605648 is a deficient number, since it is larger than the sum of its proper divisors (32197959285512).

34245533605648 is a wasteful number, since it uses less digits than its factorization.

34245533605648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385675 (or 385669 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 58.

The spelling of 34245533605648 in words is "thirty-four trillion, two hundred forty-five billion, five hundred thirty-three million, six hundred five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 797 1594 3188 6376 7109 12752 14218 28436 56872 113744 377761 755522 1511044 3022088 5665873 6044176 11331746 22663492 45326984 90653968 301075517 602151034 1204302068 2408604136 2685502949 4817208272 5371005898 10742011796 21484023592 42968047184 2140345850353 4280691700706 8561383401412 17122766802824 34245533605648