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4197427690302 = 234731119361433
BaseRepresentation
bin111101000101001010001…
…011111011101100111110
3112212021021221201111220000
4331011022023323230332
51022232312442042202
612532134402335130
7612153112455000
oct75051213735476
915767257644800
104197427690302
111379134560490
125795a605a4a6
13245a7b21b562
1410722994a370
15742b86bd91c
hex3d14a2fbb3e

4197427690302 has 320 divisors, whose sum is σ = 12595252032000. Its totient is φ = 1032856997760.

The previous prime is 4197427690279. The next prime is 4197427690373. The reversal of 4197427690302 is 2030967247914.

4197427690302 is a `hidden beast` number, since 41 + 97 + 427 + 6 + 90 + 3 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11432578 + ... + 11794010.

It is an arithmetic number, because the mean of its divisors is an integer number (39360162600).

Almost surely, 24197427690302 is an apocalyptic number.

4197427690302 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4197427690302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297626016000).

4197427690302 is an abundant number, since it is smaller than the sum of its proper divisors (8397824341698).

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

4197427690302 is a wasteful number, since it uses less digits than its factorization.

4197427690302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361498 (or 361475 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 4197427690302 in words is "four trillion, one hundred ninety-seven billion, four hundred twenty-seven million, six hundred ninety thousand, three hundred two".