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34975361480814 = 23237479910943021
BaseRepresentation
bin1111111001111010101011…
…11111110011100001101110
311120211121112002002102112200
413330331111333303201232
514041014020014341224
6202215243110442330
710236613030242036
oct774752577634156
9146747462072480
1034975361480814
1110164a70828467
123b0a5619633a6
131669215b42a81
1488cb607a48c6
15409bc942d5c9
hex1fcf55ff386e

34975361480814 has 48 divisors (see below), whose sum is σ = 77844281299200. Its totient is φ = 11340995751360.

The previous prime is 34975361480789. The next prime is 34975361480837. The reversal of 34975361480814 is 41808416357943.

34975361480814 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 5 + 3 + 614 + 8 + 0 + 8 + 1 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2275377 + ... + 8667644.

It is an arithmetic number, because the mean of its divisors is an integer number (1621755860400).

Almost surely, 234975361480814 is an apocalyptic number.

34975361480814 is an abundant number, since it is smaller than the sum of its proper divisors (42868919818386).

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

34975361480814 is a wasteful number, since it uses less digits than its factorization.

34975361480814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10947865 (or 10947862 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 34975361480814 in words is "thirty-four trillion, nine hundred seventy-five billion, three hundred sixty-one million, four hundred eighty thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 4799 9598 14397 28794 43191 86382 177563 355126 532689 1065378 1598067 3196134 10943021 21886042 32829063 65658126 98487189 196974378 404891777 809783554 1214675331 2429350662 3644025993 7288051986 52515557779 105031115558 157546673337 315093346674 472640020011 945280040022 1943075637823 3886151275646 5829226913469 11658453826938 17487680740407 34975361480814