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2112299259840 = 26345731121599
BaseRepresentation
bin11110101111001110110…
…110001101011111000000
321110221012202201022220000
4132233032312031133000
5234101442102303330
64254213223520000
7305415513315000
oct36571666153700
97427182638800
102112299259840
11744903956940
122a14648b9000
1312425c207553
147434318c000
1539e2bd9c560
hex1ebced8d7c0

2112299259840 has 1120 divisors, whose sum is σ = 9559503360000. Its totient is φ = 438899005440.

The previous prime is 2112299259839. The next prime is 2112299259853. The reversal of 2112299259840 is 489529922112.

2112299259840 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 2 + 9 + 9 + 2 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×21122992598402 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 97785361 + ... + 97806959.

Almost surely, 22112299259840 is an apocalyptic number.

2112299259840 is a gapful number since it is divisible by the number (20) 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 2112299259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779751680000).

2112299259840 is an abundant number, since it is smaller than the sum of its proper divisors (7447204100160).

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

2112299259840 is a wasteful number, since it uses less digits than its factorization.

2112299259840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21660 (or 21627 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 2112299259840 in words is "two trillion, one hundred twelve billion, two hundred ninety-nine million, two hundred fifty-nine thousand, eight hundred forty".