Search a number
-
+
2171256521712 = 24397760537649
BaseRepresentation
bin11111100110001000111…
…110010100001111110000
321200120101121012112211120
4133212020332110033300
5241033213132143322
64341243402342240
7312603521630565
oct37461076241760
97616347175746
102171256521712
1176790877a353
122b09794ba980
13129996912615
147713736a86c
153b72cccaa5c
hex1f988f943f0

2171256521712 has 80 divisors (see below), whose sum is σ = 5616482263200. Its totient is φ = 722797428736.

The previous prime is 2171256521653. The next prime is 2171256521717.

2171256521712 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2171256521717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283857664 + ... + 283865312.

It is an arithmetic number, because the mean of its divisors is an integer number (70206028290).

Almost surely, 22171256521712 is an apocalyptic number.

It is an amenable number.

2171256521712 is an abundant number, since it is smaller than the sum of its proper divisors (3445225741488).

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

2171256521712 is a wasteful number, since it uses less digits than its factorization.

2171256521712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14690 (or 14684 counting only the distinct ones).

The product of its digits is 117600, while the sum is 42.

The spelling of 2171256521712 in words is "two trillion, one hundred seventy-one billion, two hundred fifty-six million, five hundred twenty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 977 1954 2931 3908 5862 6053 7649 7816 11724 12106 15298 15632 18159 22947 23448 24212 30596 36318 45894 46896 48424 61192 72636 91788 96848 122384 145272 183576 290544 367152 5913781 7473073 11827562 14946146 17741343 22419219 23655124 29892292 35482686 44838438 46299397 47310248 59784584 70965372 89676876 92598794 94620496 119569168 138898191 141930744 179353752 185197588 277796382 283861488 358707504 370395176 555592764 740790352 1111185528 2222371056 45234510869 90469021738 135703532607 180938043476 271407065214 361876086952 542814130428 723752173904 1085628260856 2171256521712