Search a number
-
+
133248480232 = 237172331196307
BaseRepresentation
bin111110000011000111…
…0100111001111101000
3110201221022112010202111
41330012032213033220
54140343102331412
6141114041212104
712425010252130
oct1740616471750
9421838463674
10133248480232
115156832543a
12219a8791034
13c746bb8a9a
146640ab3ac0
1536ed13b2a7
hex1f063a73e8

133248480232 has 128 divisors (see below), whose sum is σ = 325651415040. Its totient is φ = 49751792640.

The previous prime is 133248480227. The next prime is 133248480241. The reversal of 133248480232 is 232084842331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580623 + ... + 776929.

It is an arithmetic number, because the mean of its divisors is an integer number (2544151680).

Almost surely, 2133248480232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133248480232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162825707520).

133248480232 is an abundant number, since it is smaller than the sum of its proper divisors (192402934808).

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

133248480232 is a wasteful number, since it uses less digits than its factorization.

133248480232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196391 (or 196387 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 133248480232 in words is "one hundred thirty-three billion, two hundred forty-eight million, four hundred eighty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 23 28 31 34 46 56 62 68 92 119 124 136 161 184 217 238 248 322 391 434 476 527 644 713 782 868 952 1054 1288 1426 1564 1736 2108 2737 2852 3128 3689 4216 4991 5474 5704 7378 9982 10948 12121 14756 19964 21896 24242 29512 39928 48484 84847 96968 169694 196307 339388 392614 678776 785228 1374149 1570456 2748298 3337219 4515061 5496596 6085517 6674438 9030122 10993192 12171034 13348876 18060244 23360533 24342068 26697752 31605427 36120488 42598619 46721066 48684136 63210854 76756037 85197238 93442132 103453789 126421708 139966891 153512074 170394476 186884264 206907578 252843416 279933782 307024148 340788952 413815156 537292259 559867564 614048296 724176523 827630312 979768237 1074584518 1119735128 1448353046 1959536474 2149169036 2379437147 2896706092 3919072948 4298338072 4758874294 5793412184 7838145896 9517748588 16656060029 19035497176 33312120058 66624240116 133248480232