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68663616 = 2637471087
BaseRepresentation
bin1000001011110…
…11100101000000
311210012110202220
410011323211000
5120034213431
610451411040
71462426320
oct405734500
9153173686
1068663616
1135838a9a
121abb3a80
13112c1478
149195280
156064b96
hex417b940

68663616 has 112 divisors (see below), whose sum is σ = 212238336. Its totient is φ = 19183104.

The previous prime is 68663599. The next prime is 68663627. The reversal of 68663616 is 61636686.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 62625 + ... + 63711.

Almost surely, 268663616 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 68663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106119168).

68663616 is an abundant number, since it is smaller than the sum of its proper divisors (143574720).

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

68663616 is a wasteful number, since it uses less digits than its factorization.

68663616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1146 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 68663616 is about 8286.3511873442. The cubic root of 68663616 is about 409.4889846029.

The spelling of 68663616 in words is "sixty-eight million, six hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 141 168 188 192 224 282 329 336 376 448 564 658 672 752 987 1087 1128 1316 1344 1504 1974 2174 2256 2632 3008 3261 3948 4348 4512 5264 6522 7609 7896 8696 9024 10528 13044 15218 15792 17392 21056 22827 26088 30436 31584 34784 45654 51089 52176 60872 63168 69568 91308 102178 104352 121744 153267 182616 204356 208704 243488 306534 357623 365232 408712 486976 613068 715246 730464 817424 1072869 1226136 1430492 1460928 1634848 2145738 2452272 2860984 3269696 4291476 4904544 5721968 8582952 9809088 11443936 17165904 22887872 34331808 68663616