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2941866542106 = 2341011671076639
BaseRepresentation
bin101010110011110100111…
…010010000010000011010
3101102020110201220122010000
4222303310322100100122
5341144420313321411
610131250321433430
7422354124006102
oct52636472202032
911366421818100
102941866542106
11a34702a723a8
123b61a119b876
131845559c06cb
14a255c2bc202
15517d0ce0956
hex2acf4e9041a

2941866542106 has 80 divisors (see below), whose sum is σ = 6697097003520. Its totient is φ = 965098303200.

The previous prime is 2941866542101. The next prime is 2941866542107. The reversal of 2941866542106 is 6012456681492.

It is a happy number.

2941866542106 is a `hidden beast` number, since 2 + 9 + 4 + 1 + 86 + 6 + 542 + 10 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2941866542101) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2194135 + ... + 3270773.

It is an arithmetic number, because the mean of its divisors is an integer number (83713712544).

Almost surely, 22941866542106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2941866542106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348548501760).

2941866542106 is an abundant number, since it is smaller than the sum of its proper divisors (3755230461414).

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

2941866542106 is a wasteful number, since it uses less digits than its factorization.

2941866542106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076921 (or 1076912 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2941866542106 in words is "two trillion, nine hundred forty-one billion, eight hundred sixty-six million, five hundred forty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 167 202 303 334 501 606 909 1002 1503 1818 2727 3006 4509 5454 8181 9018 13527 16362 16867 27054 33734 50601 101202 151803 303606 455409 910818 1076639 1366227 2153278 2732454 3229917 6459834 9689751 19379502 29069253 58138506 87207759 108740539 174415518 179798713 217481078 326221617 359597426 539396139 652443234 978664851 1078792278 1618188417 1957329702 2935994553 3236376834 4854565251 5871989106 8807983659 9709130502 14563695753 17615967318 18159670013 29127391506 36319340026 54479010039 108958020078 163437030117 326874060234 490311090351 980622180702 1470933271053 2941866542106