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2940371629056 = 21033372874331
BaseRepresentation
bin101010110010011011110…
…011100111010000000000
3101102002121112222011221000
4222302123303213100000
5341133340114112211
610130442120332000
7422302102316031
oct52623363472000
911362545864830
102940371629056
11a34006147074
123b5a44614000
1318437808c984
14a2459940a88
155174494d656
hex2ac9bce7400

2940371629056 has 176 divisors, whose sum is σ = 8943311558080. Its totient is φ = 953633710080.

The previous prime is 2940371629049. The next prime is 2940371629061. The reversal of 2940371629056 is 6509261730492.

2940371629056 is a `hidden beast` number, since 2 + 9 + 4 + 0 + 3 + 7 + 1 + 629 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×29403716290562 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2940371628993 and 2940371629011.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 414190 + ... + 2460141.

Almost surely, 22940371629056 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 2940371629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471655779040).

2940371629056 is an abundant number, since it is smaller than the sum of its proper divisors (6002939929024).

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

2940371629056 is a wasteful number, since it uses less digits than its factorization.

2940371629056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874397 (or 2874373 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 2940371629056 in words is "two trillion, nine hundred forty billion, three hundred seventy-one million, six hundred twenty-nine thousand, fifty-six".