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1696421256192 = 21033137016733
BaseRepresentation
bin11000101011111010100…
…101100001110000000000
320000011202111212210122000
4120223322211201300000
5210243232320144232
63335154122544000
7233363620521105
oct30537245416000
96004674783560
101696421256192
115a44a2634383
12234940068000
13c3c831887a0
145c170332aac
152e1db55a27c
hex18afa961c00

1696421256192 has 352 divisors, whose sum is σ = 5418961853760. Its totient is φ = 521153740800.

The previous prime is 1696421256151. The next prime is 1696421256193. The reversal of 1696421256192 is 2916521246961.

It is a happy number.

1696421256192 is a `hidden beast` number, since 1 + 6 + 9 + 6 + 4 + 2 + 12 + 5 + 619 + 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 not an unprimeable number, because it can be changed into a prime (1696421256193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251952858 + ... + 251959590.

Almost surely, 21696421256192 is an apocalyptic number.

1696421256192 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 1696421256192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709480926880).

1696421256192 is an abundant number, since it is smaller than the sum of its proper divisors (3722540597568).

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

1696421256192 is a wasteful number, since it uses less digits than its factorization.

1696421256192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7476 (or 7452 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 1696421256192 in words is "one trillion, six hundred ninety-six billion, four hundred twenty-one million, two hundred fifty-six thousand, one hundred ninety-two".