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1696673890560 = 283511477112037
BaseRepresentation
bin11000101100001001101…
…001010000000100000000
320000012102010020221211110
4120230021221100010000
5210244242003444220
63335235145443320
7233403106054335
oct30541151200400
96005363227743
101696673890560
115a46121a7310
122349b07a0540
13c3cc361128c
145c195ad698c
152e20380ebe0
hex18b09a50100

1696673890560 has 576 divisors, whose sum is σ = 6122678575104. Its totient is φ = 396860620800.

The previous prime is 1696673890553. The next prime is 1696673890579. The reversal of 1696673890560 is 650983766961.

It is a super-2 number, since 2×16966738905602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1696673890491 and 1696673890500.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140948862 + ... + 140960898.

It is an arithmetic number, because the mean of its divisors is an integer number (10629650304).

Almost surely, 21696673890560 is an apocalyptic number.

1696673890560 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 1696673890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061339287552).

1696673890560 is an abundant number, since it is smaller than the sum of its proper divisors (4426004684544).

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

1696673890560 is a wasteful number, since it uses less digits than its factorization.

1696673890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12190 (or 12176 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 66.

The spelling of 1696673890560 in words is "one trillion, six hundred ninety-six billion, six hundred seventy-three million, eight hundred ninety thousand, five hundred sixty".