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427320410112 = 2193330187
BaseRepresentation
bin1100011011111100100…
…10000000000000000000
31111211222200202000002000
412031332102000000000
524000123011110422
6524150331224000
742605253361311
oct6157622000000
91454880660060
10427320410112
1115525325a932
126a9988a8000
13313b081499b
141697a7ac608
15b1b016ecac
hex637e480000

427320410112 has 160 divisors (see below), whose sum is σ = 1266175284000. Its totient is φ = 142435418112.

The previous prime is 427320410071. The next prime is 427320410149. The reversal of 427320410112 is 211014023724.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14140683 + ... + 14170869.

It is an arithmetic number, because the mean of its divisors is an integer number (7913595525).

Almost surely, 2427320410112 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 427320410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633087642000).

427320410112 is an abundant number, since it is smaller than the sum of its proper divisors (838854873888).

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

427320410112 is an frugal number, since it uses more digits than its factorization.

427320410112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30234 (or 30192 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 427320410112 its reverse (211014023724), we get a palindrome (638334433836).

The spelling of 427320410112 in words is "four hundred twenty-seven billion, three hundred twenty million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 16384 18432 24576 27648 30187 32768 36864 49152 55296 60374 65536 73728 90561 98304 110592 120748 131072 147456 181122 196608 221184 241496 262144 271683 294912 362244 393216 442368 482992 524288 543366 589824 724488 786432 815049 884736 965984 1086732 1179648 1448976 1572864 1630098 1769472 1931968 2173464 2359296 2897952 3260196 3538944 3863936 4346928 4718592 5795904 6520392 7077888 7727872 8693856 11591808 13040784 14155776 15455744 17387712 23183616 26081568 30911488 34775424 46367232 52163136 61822976 69550848 92734464 104326272 123645952 139101696 185468928 208652544 247291904 278203392 370937856 417305088 494583808 556406784 741875712 834610176 989167616 1112813568 1483751424 1669220352 1978335232 2225627136 2967502848 3338440704 3956670464 4451254272 5935005696 6676881408 7913340928 8902508544 11870011392 13353762816 15826681856 17805017088 23740022784 26707525632 35610034176 47480045568 53415051264 71220068352 106830102528 142440136704 213660205056 427320410112