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1685083392432 = 2434111735319697
BaseRepresentation
bin11000100001010110110…
…011000000100110110000
312222002111100200122110000
4120201112303000212300
5210102022322024212
63330041105110000
7232512636335526
oct30412663004660
95862440618400
101685083392432
1159a704710540
122326b7028300
13c2b97266c6b
145b7b6634316
152dc75ecd1dc
hex18856cc09b0

1685083392432 has 400 divisors, whose sum is σ = 5649710707872. Its totient is φ = 479208407040.

The previous prime is 1685083392427. The next prime is 1685083392451. The reversal of 1685083392432 is 2342933805861.

1685083392432 is a `hidden beast` number, since 1 + 6 + 8 + 508 + 3 + 3 + 92 + 43 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85540408 + ... + 85560104.

Almost surely, 21685083392432 is an apocalyptic number.

1685083392432 is a gapful number since it is divisible by the number (12) 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 1685083392432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824855353936).

1685083392432 is an abundant number, since it is smaller than the sum of its proper divisors (3964627315440).

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

1685083392432 is a wasteful number, since it uses less digits than its factorization.

1685083392432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20098 (or 20083 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 1685083392432 in words is "one trillion, six hundred eighty-five billion, eighty-three million, three hundred ninety-two thousand, four hundred thirty-two".