Search a number
-
+
248134806640 = 24574211052489
BaseRepresentation
bin1110011100010111111…
…1001010110001110000
3212201110221102012211201
43213011333022301300
513031140002303030
6305554102020544
723633004025150
oct3470577126160
9781427365751
10248134806640
11962626a1936
124010ba17754
131a525824096
14c01cc08760
1566c41d42ca
hex39c5fcac70

248134806640 has 80 divisors (see below), whose sum is σ = 660896360640. Its totient is φ = 84872632320.

The previous prime is 248134806553. The next prime is 248134806641. The reversal of 248134806640 is 46608431842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248134806641) 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, 290485 + ... + 762004.

It is an arithmetic number, because the mean of its divisors is an integer number (8261204508).

Almost surely, 2248134806640 is an apocalyptic number.

248134806640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248134806640 is an abundant number, since it is smaller than the sum of its proper divisors (412761554000).

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

248134806640 is a wasteful number, since it uses less digits than its factorization.

248134806640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052930 (or 1052924 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The spelling of 248134806640 in words is "two hundred forty-eight billion, one hundred thirty-four million, eight hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 421 560 842 1684 2105 2947 3368 4210 5894 6736 8420 11788 14735 16840 23576 29470 33680 47152 58940 117880 235760 1052489 2104978 4209956 5262445 7367423 8419912 10524890 14734846 16839824 21049780 29469692 36837115 42099560 58939384 73674230 84199120 117878768 147348460 294696920 443097869 589393840 886195738 1772391476 2215489345 3101685083 3544782952 4430978690 6203370166 7089565904 8861957380 12406740332 15508425415 17723914760 24813480664 31016850830 35447829520 49626961328 62033701660 124067403320 248134806640