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2941025220672 = 263711193167712
BaseRepresentation
bin101010110011000010110…
…000110111100001000000
3101102011022002211002001220
4222303002300313201000
5341141204424030142
610131031025155040
7422324226621660
oct52630260674100
911364262732056
102941025220672
11a34311079130
123b5ba748ba80
13184450600686
14a24bc6781a0
15517820052ec
hex2acc2c37840

2941025220672 has 1344 divisors, whose sum is σ = 10851746119680. Its totient is φ = 680182272000.

The previous prime is 2941025220629. The next prime is 2941025220701. The reversal of 2941025220672 is 2760225201492.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×29410252206722 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 41422890397 + ... + 41422890467.

Almost surely, 22941025220672 is an apocalyptic number.

2941025220672 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 2941025220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425873059840).

2941025220672 is an abundant number, since it is smaller than the sum of its proper divisors (7910720899008).

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

2941025220672 is a wasteful number, since it uses less digits than its factorization.

2941025220672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 2941025220672 in words is "two trillion, nine hundred forty-one billion, twenty-five million, two hundred twenty thousand, six hundred seventy-two".