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2741401493748 = 2232218849347957
BaseRepresentation
bin100111111001001000010…
…000110010000011110100
3100201002000222120001012100
4213321020100302003310
5324403342240244443
65455214340022100
7402026325136011
oct47711020620364
910632028501170
102741401493748
11967692747515
12383375991930
1316b6892361b8
1496982542708
154b49bb093d3
hex27e484320f4

2741401493748 has 36 divisors (see below), whose sum is σ = 6929705355300. Its totient is φ = 913793696256.

The previous prime is 2741401493741. The next prime is 2741401493767. The reversal of 2741401493748 is 8473941041472.

2741401493748 is a `hidden beast` number, since 2 + 7 + 4 + 140 + 1 + 493 + 7 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 935742806244 + 1805658687504 = 967338^2 + 1343748^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 2741401493694 and 2741401493703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2741401493741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7704586 + ... + 8052542.

It is an arithmetic number, because the mean of its divisors is an integer number (192491815425).

Almost surely, 22741401493748 is an apocalyptic number.

It is an amenable number.

2741401493748 is an abundant number, since it is smaller than the sum of its proper divisors (4188303861552).

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

2741401493748 is a wasteful number, since it uses less digits than its factorization.

2741401493748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566816 (or 566811 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 2741401493748 in words is "two trillion, seven hundred forty-one billion, four hundred one million, four hundred ninety-three thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 218849 347957 437698 656547 695914 875396 1043871 1313094 1391828 1969641 2087742 2626188 3131613 3939282 4175484 6263226 7878564 12526452 76150041493 152300082986 228450124479 304600165972 456900248958 685350373437 913800497916 1370700746874 2741401493748