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4285964740932 = 223271719232289379
BaseRepresentation
bin111110010111100111011…
…001111110100101000100
3120011201211020210200202100
4332113213121332211010
51030210123433202212
613040540042512100
7621436126126020
oct76274731764504
916151736720670
104285964740932
1114027383a8006
12592794b05630
1325121ac21804
1410b62842b380
157674b3bdbdc
hex3e5e767e944

4285964740932 has 288 divisors, whose sum is σ = 14400017049600. Its totient is φ = 1044395928576.

The previous prime is 4285964740907. The next prime is 4285964740957. The reversal of 4285964740932 is 2390474695824.

4285964740932 is a `hidden beast` number, since 4 + 2 + 8 + 596 + 4 + 7 + 4 + 0 + 9 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (4285964740907) and next prime (4285964740957).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4285964740932.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 727419 + ... + 3016797.

It is an arithmetic number, because the mean of its divisors is an integer number (50000059200).

Almost surely, 24285964740932 is an apocalyptic number.

4285964740932 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4285964740932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7200008524800).

4285964740932 is an abundant number, since it is smaller than the sum of its proper divisors (10114052308668).

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

4285964740932 is a wasteful number, since it uses less digits than its factorization.

4285964740932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289455 (or 2289450 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 4285964740932 in words is "four trillion, two hundred eighty-five billion, nine hundred sixty-four million, seven hundred forty thousand, nine hundred thirty-two".