Search a number
-
+
2071671407424 = 263223156376163
BaseRepresentation
bin11110001001011001001…
…111010000001101000000
321100001100100020120210100
4132021121033100031000
5232420240340014144
64223413540002400
7302446643262453
oct36113117201500
97301310216710
102071671407424
11729655557003
12295606690400
13120486056aa8
14723ab46749a
1538d501e5269
hex1e2593d0340

2071671407424 has 84 divisors (see below), whose sum is σ = 6196249122336. Its totient is φ = 660532908288.

The previous prime is 2071671407357. The next prime is 2071671407459. The reversal of 2071671407424 is 4247041761702.

2071671407424 is a `hidden beast` number, since 20 + 7 + 1 + 67 + 140 + 7 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2071671407424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78174834 + ... + 78201329.

It is an arithmetic number, because the mean of its divisors is an integer number (73764870504).

Almost surely, 22071671407424 is an apocalyptic number.

2071671407424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2071671407424 is an abundant number, since it is smaller than the sum of its proper divisors (4124577714912).

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

2071671407424 is a wasteful number, since it uses less digits than its factorization.

2071671407424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156376204 (or 156376191 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 2071671407424 in words is "two trillion, seventy-one billion, six hundred seventy-one million, four hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 156376163 312752326 469128489 625504652 938256978 1251009304 1407385467 1876513956 2502018608 2814770934 3596651749 3753027912 5004037216 5629541868 7193303498 7506055824 10008074432 10789955247 11259083736 14386606996 15012111648 21579910494 22518167472 28773213992 30024223296 32369865741 43159820988 45036334944 57546427984 64739731482 86319641976 90072669888 115092855968 129479462964 172639283952 230185711936 258958925928 345278567904 517917851856 690557135808 1035835703712 2071671407424