Search a number
-
+
2742461471712 = 25334327832211
BaseRepresentation
bin100111111010000111011…
…100010001101111100000
3100201011202212002111121110
4213322013130101233200
5324413030114043322
65455511443023320
7402064515612534
oct47720734215740
910634685074543
102742461471712
11968087006666
1238361096ab40
1316b7c7a132b1
1496a43223bc4
154b50ebd6c0c
hex27e87711be0

2742461471712 has 48 divisors (see below), whose sum is σ = 7199179731072. Its totient is φ = 914126094720.

The previous prime is 2742461471689. The next prime is 2742461471819. The reversal of 2742461471712 is 2171741642472.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2879287 + ... + 3711497.

It is an arithmetic number, because the mean of its divisors is an integer number (149982911064).

Almost surely, 22742461471712 is an apocalyptic number.

It is an amenable number.

2742461471712 is an abundant number, since it is smaller than the sum of its proper divisors (4456718259360).

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

2742461471712 is a wasteful number, since it uses less digits than its factorization.

2742461471712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866551 (or 866543 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 48.

The spelling of 2742461471712 in words is "two trillion, seven hundred forty-two billion, four hundred sixty-one million, four hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 34327 68654 102981 137308 205962 274616 411924 549232 823848 832211 1098464 1647696 1664422 2496633 3295392 3328844 4993266 6657688 9986532 13315376 19973064 26630752 39946128 79892256 28567306997 57134613994 85701920991 114269227988 171403841982 228538455976 342807683964 457076911952 685615367928 914153823904 1371230735856 2742461471712