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2141158893696 = 2736127180679
BaseRepresentation
bin11111001010000111000…
…000111110100010000000
321120200201001012122000000
4133022013000332202000
5240040043134044241
64315345042000000
7310456625206134
oct37120700764200
97520631178000
102141158893696
11756073414a09
122a6b79946000
13126bab257584
14758bdd8b3c4
153aa6a819eb6
hex1f28703e880

2141158893696 has 224 divisors, whose sum is σ = 6445852953600. Its totient is φ = 708095872512.

The previous prime is 2141158893667. The next prime is 2141158893701. The reversal of 2141158893696 is 6963988511412.

2141158893696 is a `hidden beast` number, since 2 + 1 + 4 + 11 + 588 + 9 + 36 + 9 + 6 = 666.

It is a super-2 number, since 2×21411588936962 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 11760285 + ... + 11940963.

Almost surely, 22141158893696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141158893696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222926476800).

2141158893696 is an abundant number, since it is smaller than the sum of its proper divisors (4304694059904).

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

2141158893696 is an equidigital number, since it uses as much as digits as its factorization.

2141158893696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180838 (or 180811 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 2141158893696 in words is "two trillion, one hundred forty-one billion, one hundred fifty-eight million, eight hundred ninety-three thousand, six hundred ninety-six".