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2947416441944 = 231331091538491
BaseRepresentation
bin101010111000111111101…
…101011100010001011000
3101102202210112000202102212
4222320333231130101120
5341242302102120234
610134005135214252
7422641504250102
oct52707755342130
911382715022385
102947416441944
11a36aa0819287
123b728b977388
13184c2b756000
14a2927404572
1551a0816a5ce
hex2ae3fb5c458

2947416441944 has 64 divisors (see below), whose sum is σ = 6041658084000. Its totient is φ = 1347864935040.

The previous prime is 2947416441889. The next prime is 2947416441961. The reversal of 2947416441944 is 4491446147492.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1146539 + ... + 2685029.

Almost surely, 22947416441944 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 2947416441944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020829042000).

2947416441944 is an abundant number, since it is smaller than the sum of its proper divisors (3094241642056).

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

2947416441944 is a wasteful number, since it uses less digits than its factorization.

2947416441944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538645 (or 1538615 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 59.

The spelling of 2947416441944 in words is "two trillion, nine hundred forty-seven billion, four hundred sixteen million, four hundred forty-one thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 109 169 218 338 436 676 872 1352 1417 2197 2834 4394 5668 8788 11336 17576 18421 36842 73684 147368 239473 478946 957892 1538491 1915784 3076982 6153964 12307928 20000383 40000766 80001532 160003064 167695519 260004979 335391038 520009958 670782076 1040019916 1341564152 2080039832 2180041747 3380064727 4360083494 6760129454 8720166988 13520258908 17440333976 27040517816 28340542711 56681085422 113362170844 226724341688 368427055243 736854110486 1473708220972 2947416441944