Search a number
-
+
102504511354248 = 23328922969852989
BaseRepresentation
bin10111010011101000110000…
…111111001011010110001000
3111102221100001122021122002200
4113103220300333023112020
5101413413214401313443
61002001531125000200
730406464230330163
oct2723506077132610
9442840048248080
10102504511354248
112a72aa124106a3
12b5b6089553060
134527198378963
141b4535db08ada
15bcb59e4b2dd3
hex5d3a30fcb588

102504511354248 has 96 divisors (see below), whose sum is σ = 281961594135000. Its totient is φ = 33636728429568.

The previous prime is 102504511354247. The next prime is 102504511354361. The reversal of 102504511354248 is 842453115405201.

102504511354248 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 0 + 4 + 51 + 1 + 354 + 248 = 666.

102504511354248 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 4 ways, for example, as 86503727344644 + 16000784009604 = 9300738^2 + 4000098^2 .

It is not an unprimeable number, because it can be changed into a prime (102504511354247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33459063 + ... + 36393926.

Almost surely, 2102504511354248 is an apocalyptic number.

102504511354248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102504511354248 is an abundant number, since it is smaller than the sum of its proper divisors (179457082780752).

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

102504511354248 is a wasteful number, since it uses less digits than its factorization.

102504511354248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69853319 (or 69853312 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

Adding to 102504511354248 its reverse (842453115405201), we get a palindrome (944957626759449).

The spelling of 102504511354248 in words is "one hundred two trillion, five hundred four billion, five hundred eleven million, three hundred fifty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 229 267 356 458 534 687 712 801 916 1068 1374 1602 1832 2061 2136 2748 3204 4122 5496 6408 8244 16488 20381 40762 61143 81524 122286 163048 183429 244572 366858 489144 733716 1467432 69852989 139705978 209558967 279411956 419117934 558823912 628676901 838235868 1257353802 1676471736 2514707604 5029415208 6216916021 12433832042 15996334481 18650748063 24867664084 31992668962 37301496126 47989003443 49735328168 55952244189 63985337924 74602992252 95978006886 111904488378 127970675848 143967010329 149205984504 191956013772 223808976756 287934020658 383912027544 447617953512 575868041316 1151736082632 1423673768809 2847347537618 4271021306427 5694695075236 8542042612854 11389390150472 12813063919281 17084085225708 25626127838562 34168170451416 51252255677124 102504511354248