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2992545319140 = 22345133719120107
BaseRepresentation
bin101011100011000001100…
…110011100100011100100
3101121002021121222020210000
4223203001212130203210
5343012213100203030
610210431211501300
7426130030341456
oct53430146344344
911532247866700
102992545319140
11a541498a9703
12403b85457830
1318927127b840
14a4ba8c202d6
1552c9a064860
hex2b8c199c8e4

2992545319140 has 480 divisors, whose sum is σ = 10437978507264. Its totient is φ = 712929807360.

The previous prime is 2992545319139. The next prime is 2992545319201. The reversal of 2992545319140 is 419135452992.

2992545319140 is a `hidden beast` number, since 2 + 9 + 9 + 2 + 545 + 3 + 1 + 91 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 148820967 + ... + 148841073.

Almost surely, 22992545319140 is an apocalyptic number.

2992545319140 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 2992545319140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218989253632).

2992545319140 is an abundant number, since it is smaller than the sum of its proper divisors (7445433188124).

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

2992545319140 is a wasteful number, since it uses less digits than its factorization.

2992545319140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20369 (or 20358 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 2992545319140 in words is "two trillion, nine hundred ninety-two billion, five hundred forty-five million, three hundred nineteen thousand, one hundred forty".