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1696677396480 = 21532511293607
BaseRepresentation
bin11000101100001001110…
…110101000000000000000
320000012102100212002001100
4120230021312220000000
5210244243403141410
63335235352534400
7233403150625563
oct30541166500000
96005370762040
101696677396480
115a4614181370
122349b19b1400
13c3cc426aca1
145c19636a4da
152e203ca38c0
hex18b09da8000

1696677396480 has 768 divisors, whose sum is σ = 6639523862400. Its totient is φ = 397022330880.

The previous prime is 1696677396409. The next prime is 1696677396527. The reversal of 1696677396480 is 846937766961.

1696677396480 is a `hidden beast` number, since 1 + 6 + 96 + 6 + 77 + 396 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×16966773964802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1696677396399 and 1696677396408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470382837 + ... + 470386443.

Almost surely, 21696677396480 is an apocalyptic number.

1696677396480 is a gapful number since it is divisible by the number (10) 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 1696677396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319761931200).

1696677396480 is an abundant number, since it is smaller than the sum of its proper divisors (4942846465920).

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

1696677396480 is a wasteful number, since it uses less digits than its factorization.

1696677396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 1696677396480 in words is "one trillion, six hundred ninety-six billion, six hundred seventy-seven million, three hundred ninety-six thousand, four hundred eighty".