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67082404416 = 2631930895953
BaseRepresentation
bin111110011110011011…
…000100001001000000
320102011002101020010220
4332132123010021000
52044341043420131
650452304423040
74563236013036
oct763633041100
9212132336126
1067082404416
11264a42a5355
1211001917a80
136430b55a31
143365340556
151b293e7e96
hexf9e6c4240

67082404416 has 112 divisors (see below), whose sum is σ = 186922257600. Its totient is φ = 21173501952.

The previous prime is 67082404393. The next prime is 67082404451. The reversal of 67082404416 is 61440428076.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11265696 + ... + 11271648.

Almost surely, 267082404416 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 67082404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93461128800).

67082404416 is an abundant number, since it is smaller than the sum of its proper divisors (119839853184).

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

67082404416 is a wasteful number, since it uses less digits than its factorization.

67082404416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9076 (or 9066 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 67082404416 in words is "sixty-seven billion, eighty-two million, four hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3089 3648 5953 6178 9267 11906 12356 17859 18534 23812 24712 35718 37068 47624 49424 58691 71436 74136 95248 98848 113107 117382 142872 148272 176073 190496 197696 226214 234764 285744 296544 339321 352146 380992 452428 469528 571488 593088 678642 704292 904856 939056 1142976 1357284 1408584 1809712 1878112 2714568 2817168 3619424 3756224 5429136 5634336 7238848 10858272 11268672 18388817 21716544 36777634 55166451 73555268 110332902 147110536 220665804 294221072 349387523 441331608 588442144 698775046 882663216 1048162569 1176884288 1397550092 1765326432 2096325138 2795100184 3530652864 4192650276 5590200368 8385300552 11180400736 16770601104 22360801472 33541202208 67082404416