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34216020355061 = 1972573209210601
BaseRepresentation
bin1111100011110100010011…
…01111010010011111110101
311111011000112021210111121102
413301322021233102133311
513441043402202330221
6200434342303055445
710131011611205006
oct761721157223765
9144130467714542
1034216020355061
11a9a1a29531786
123a07363ba1585
1316127315b8c8c
148640c831b1ad
153e50858c030b
hex1f1e89bd27f5

34216020355061 has 16 divisors (see below), whose sum is σ = 34534440143280. Its totient is φ = 33899146444800.

The previous prime is 34216020355043. The next prime is 34216020355073. The reversal of 34216020355061 is 16055302061243.

It can be written as a sum of positive squares in 8 ways, for example, as 2842511700625 + 31373508654436 = 1685975^2 + 5601206^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34216020355061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34216023355061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162363161 + ... + 162573761.

It is an arithmetic number, because the mean of its divisors is an integer number (2158402508955).

Almost surely, 234216020355061 is an apocalyptic number.

It is an amenable number.

34216020355061 is a deficient number, since it is larger than the sum of its proper divisors (318419788219).

34216020355061 is a wasteful number, since it uses less digits than its factorization.

34216020355061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214264.

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 34216020355061 in words is "thirty-four trillion, two hundred sixteen billion, twenty million, three hundred fifty-five thousand, sixty-one".

Divisors: 1 197 257 3209 50629 210601 632173 824713 41488397 54124457 162468461 675818609 10662518029 133136265973 173685382513 34216020355061