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8434283510916 = 2232234285653081
BaseRepresentation
bin111101010111100001001…
…1110001111110010000100
31002212022100201102120112200
41322233002132033302010
52101141403034322131
625534353434514500
71530233256645144
oct172570236176204
932768321376480
108434283510916
112761a6118482a
12b42754595a30
13492470b92723
14212315b20924
15e95dd5612e6
hex7abc278fc84

8434283510916 has 18 divisors (see below), whose sum is σ = 21319994430462. Its totient is φ = 2811427836960.

The previous prime is 8434283510881. The next prime is 8434283510929. The reversal of 8434283510916 is 6190153824348.

It is a happy number.

8434283510916 is a `hidden beast` number, since 8 + 4 + 3 + 42 + 83 + 510 + 9 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6497604921600 + 1936678589316 = 2549040^2 + 1391646^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×84342835109162 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117142826505 + ... + 117142826576.

Almost surely, 28434283510916 is an apocalyptic number.

It is an amenable number.

8434283510916 is an abundant number, since it is smaller than the sum of its proper divisors (12885710919546).

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

8434283510916 is a wasteful number, since it uses less digits than its factorization.

8434283510916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234285653091 (or 234285653086 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 8434283510916 in words is "eight trillion, four hundred thirty-four billion, two hundred eighty-three million, five hundred ten thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 234285653081 468571306162 702856959243 937142612324 1405713918486 2108570877729 2811427836972 4217141755458 8434283510916