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2942443671552 = 2123272111731281
BaseRepresentation
bin101010110100010111010…
…011110101000000000000
3101102021221221212211212200
4222310113103311000000
5341202111034442202
610131423455353200
7422404332352200
oct52642723650000
911367857784780
102942443671552
11a3497981a290
123b6322522800
1318461843c418
14a25b4bd0400
15518167e1e1c
hex2ad174f5000

2942443671552 has 1872 divisors, whose sum is σ = 11830632712704. Its totient is φ = 693633024000.

The previous prime is 2942443671527. The next prime is 2942443671553. The reversal of 2942443671552 is 2551763442492.

2942443671552 is a `hidden beast` number, since 2 + 9 + 4 + 24 + 4 + 3 + 67 + 1 + 552 = 666.

Its product of digits (14515200) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2942443671553) 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 143 ways as a sum of consecutive naturals, for example, 10471329652 + ... + 10471329932.

It is an arithmetic number, because the mean of its divisors is an integer number (6319782432).

Almost surely, 22942443671552 is an apocalyptic number.

2942443671552 is a gapful number since it is divisible by the number (22) 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 2942443671552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915316356352).

2942443671552 is an abundant number, since it is smaller than the sum of its proper divisors (8888189041152).

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

2942443671552 is a wasteful number, since it uses less digits than its factorization.

2942443671552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 352 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 2942443671552 in words is "two trillion, nine hundred forty-two billion, four hundred forty-three million, six hundred seventy-one thousand, five hundred fifty-two".