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69487068816 = 243211219972
BaseRepresentation
bin100000010110111000…
…0001000011010010000
320122100200011211120100
41000231300020122100
52114302142200231
651531045012400
75006645224314
oct1005560103220
9218320154510
1069487068816
1127518703300
12115730b4100
1367250b5789
143512855b44
151c1a5911e6
hex102dc08690

69487068816 has 135 divisors (see below), whose sum is σ = 213860385193. Its totient is φ = 21046143360.

The previous prime is 69487068797. The next prime is 69487068817. The reversal of 69487068816 is 61886078496.

The square root of 69487068816 is 263604.

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

69487068816 is a `hidden beast` number, since 69 + 487 + 0 + 6 + 88 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1728896400 + 67758172416 = 41580^2 + 260304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (69487068817) 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, 34794730 + ... + 34796726.

Almost surely, 269487068816 is an apocalyptic number.

69487068816 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

69487068816 is the 263604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69487068816

69487068816 is an abundant number, since it is smaller than the sum of its proper divisors (144373316377).

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

69487068816 is a wasteful number, since it uses less digits than its factorization.

69487068816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 69487068816 in words is "sixty-nine billion, four hundred eighty-seven million, sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 1997 2178 2904 3994 4356 5808 5991 7988 8712 11982 15976 17424 17973 21967 23964 31952 35946 43934 47928 65901 71892 87868 95856 131802 143784 175736 197703 241637 263604 287568 351472 395406 483274 527208 724911 790812 966548 1054416 1449822 1581624 1933096 2174733 2899644 3163248 3866192 3988009 4349466 5799288 7976018 8698932 11598576 11964027 15952036 17397864 23928054 31904072 34795728 35892081 43868099 47856108 63808144 71784162 87736198 95712216 131604297 143568324 175472396 191424432 263208594 287136648 350944792 394812891 482549089 526417188 574273296 701889584 789625782 965098178 1052834376 1447647267 1579251564 1930196356 2105668752 2895294534 3158503128 3860392712 4342941801 5790589068 6317006256 7720785424 8685883602 11581178136 17371767204 23162356272 34743534408 69487068816