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63111412 = 227213173147
BaseRepresentation
bin1111000011000…
…0000011110100
311101202101120201
43300300003310
5112124031122
610132410244
71364303200
oct360600364
9141671521
1063111412
11326965a1
1219176984
13100c9240
14854bb00
155819a27
hex3c300f4

63111412 has 144 divisors (see below), whose sum is σ = 154441728. Its totient is φ = 22256640.

The previous prime is 63111409. The next prime is 63111427. The reversal of 63111412 is 21411136.

It is a self number, because there is not a number n which added to its sum of digits gives 63111412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1342773 + ... + 1342819.

It is an arithmetic number, because the mean of its divisors is an integer number (1072512).

Almost surely, 263111412 is an apocalyptic number.

63111412 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63111412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220864).

63111412 is an abundant number, since it is smaller than the sum of its proper divisors (91330316).

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

63111412 is a wasteful number, since it uses less digits than its factorization.

63111412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 63111412 is about 7944.2691293787. The cubic root of 63111412 is about 398.1401407115.

Adding to 63111412 its reverse (21411136), we get a palindrome (84522548).

It can be divided in two parts, 631114 and 12, that added together give a triangular number (631126 = T1123).

The spelling of 63111412 in words is "sixty-three million, one hundred eleven thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 17 26 28 31 34 47 49 52 62 68 91 94 98 119 124 182 188 196 217 221 238 329 364 403 434 442 476 527 611 637 658 799 806 833 868 884 1054 1222 1274 1316 1457 1519 1547 1598 1612 1666 2108 2303 2444 2548 2821 2914 3038 3094 3196 3332 3689 4277 4606 5593 5642 5828 6076 6188 6851 7378 8554 9212 10199 10387 10829 11186 11284 13702 14756 17108 18941 19747 20398 20774 21658 22372 24769 25823 27404 29939 37882 39151 39494 40796 41548 43316 47957 49538 51646 59878 71393 72709 75764 78302 78988 95914 99076 103292 119756 132587 142786 145418 156604 173383 191828 265174 285572 290836 321997 335699 346766 508963 530348 643994 671398 693532 928109 1017926 1213681 1287988 1342796 1856218 2035852 2253979 2427362 3712436 4507958 4854724 9015916 15777853 31555706 63111412