Search a number
-
+
231849954064 = 24172732972
BaseRepresentation
bin1101011111101101010…
…1011000101100010000
3211011110000120222202201
43113323111120230100
512244312042012224
6254302125052544
722515313043641
oct3277325305420
9734400528681
10231849954064
118a366289093
1238b260b7154
1318b2ba44841
14b3160c76c8
15606e6c2a44
hex35fb558b10

231849954064 has 135 divisors (see below), whose sum is σ = 488853276957. Its totient is φ = 106501865472.

The previous prime is 231849954053. The next prime is 231849954067. The reversal of 231849954064 is 460459948132.

The square root of 231849954064 is 481508.

It is a perfect power (a square), and thus also a powerful number.

231849954064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 48145136400 + 183704817664 = 219420^2 + 428608^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 231849953996 and 231849954014.

It is not an unprimeable number, because it can be changed into a prime (231849954067) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2390205664 + ... + 2390205760.

Almost surely, 2231849954064 is an apocalyptic number.

231849954064 is the 481508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231849954064

231849954064 is an abundant number, since it is smaller than the sum of its proper divisors (257003322893).

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

231849954064 is an frugal number, since it uses more digits than its factorization.

231849954064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 231849954064 in words is "two hundred thirty-one billion, eight hundred forty-nine million, nine hundred fifty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 17 34 68 73 97 136 146 194 272 289 292 388 578 584 776 1156 1168 1241 1552 1649 2312 2482 3298 4624 4964 5329 6596 7081 9409 9928 10658 13192 14162 18818 19856 21097 21316 26384 28033 28324 37636 42194 42632 56066 56648 75272 84388 85264 90593 112132 113296 120377 150544 159953 168776 181186 224264 240754 319906 337552 362372 448528 481508 516913 639812 686857 724744 963016 1033826 1279624 1373714 1449488 1540081 1926032 2046409 2067652 2559248 2719201 2747428 3080162 4092818 4135304 5438402 5494856 6160324 8185636 8270608 8787521 10876804 10989712 11676569 12320648 16371272 17575042 21753608 23353138 24641296 32742544 35150084 43507216 46706276 50140561 70300168 93412552 100281122 140600336 149387857 186825104 198501673 200562244 298775714 397003346 401124488 597551428 794006692 802248976 852389537 1195102856 1588013384 1704779074 2390205712 3176026768 3409558148 6819116296 13638232592 14490622129 28981244258 57962488516 115924977032 231849954064