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3485208288078 = 2321119926424319
BaseRepresentation
bin110010101101110110100…
…110100001101101001110
3110100011221011021011112100
4302231312212201231032
5424100201310204303
611225025501015530
7506540465441046
oct62556646415516
913304834234470
103485208288078
111124083246070
124835592545a6
131c386632b4ca
14c0983834726
15609d19a78a3
hex32b769a1b4e

3485208288078 has 48 divisors (see below), whose sum is σ = 8671331635200. Its totient is φ = 1000538263440.

The previous prime is 3485208288073. The next prime is 3485208288101. The reversal of 3485208288078 is 8708828025843.

3485208288078 is a `hidden beast` number, since 3 + 4 + 8 + 520 + 8 + 28 + 80 + 7 + 8 = 666.

It is a super-2 number, since 2×34852082880782 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485208288071) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 463208398 + ... + 463215921.

It is an arithmetic number, because the mean of its divisors is an integer number (180652742400).

Almost surely, 23485208288078 is an apocalyptic number.

3485208288078 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

3485208288078 is an abundant number, since it is smaller than the sum of its proper divisors (5186123347122).

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

3485208288078 is a wasteful number, since it uses less digits than its factorization.

3485208288078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926424357 (or 926424354 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 3485208288078 in words is "three trillion, four hundred eighty-five billion, two hundred eight million, two hundred eighty-eight thousand, seventy-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 926424319 1852848638 2779272957 5558545914 8337818871 10190667509 16675637742 17602062061 20381335018 30572002527 35204124122 52806186183 61144005054 91716007581 105612372366 158418558549 183432015162 193622682671 316837117098 387245365342 580868048013 1161736096026 1742604144039 3485208288078