Search a number
-
+
67465382688 = 25321183256577
BaseRepresentation
bin111110110101010000…
…000000101100100000
320110010210000112120100
4332311100000230200
52101132114221223
650554305142400
74605566201544
oct766520005440
9213123015510
1067465382688
11266804a4620
12110aa02aa00
1364922b76b2
1433a0153a24
151b4cd48043
hexfb5400b20

67465382688 has 144 divisors (see below), whose sum is σ = 211818481056. Its totient is φ = 20197662720.

The previous prime is 67465382659. The next prime is 67465382689. The reversal of 67465382688 is 88628356476.

67465382688 is a `hidden beast` number, since 6 + 74 + 6 + 538 + 26 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×674653826882 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67465382689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134656 + ... + 391232.

It is an arithmetic number, because the mean of its divisors is an integer number (1470961674).

Almost surely, 267465382688 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 67465382688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105909240528).

67465382688 is an abundant number, since it is smaller than the sum of its proper divisors (144353098368).

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

67465382688 is a wasteful number, since it uses less digits than its factorization.

67465382688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256687 (or 256676 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 67465382688 in words is "sixty-seven billion, four hundred sixty-five million, three hundred eighty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 83 88 96 99 132 144 166 176 198 249 264 288 332 352 396 498 528 664 747 792 913 996 1056 1328 1494 1584 1826 1992 2656 2739 2988 3168 3652 3984 5478 5976 7304 7968 8217 10956 11952 14608 16434 21912 23904 29216 32868 43824 65736 87648 131472 256577 262944 513154 769731 1026308 1539462 2052616 2309193 2822347 3078924 4105232 4618386 5644694 6157848 8210464 8467041 9236772 11289388 12315696 16934082 18473544 21295891 22578776 24631392 25401123 33868164 36947088 42591782 45157552 50802246 63887673 67736328 73894176 85183564 90315104 101604492 127775346 135472656 170367128 191663019 203208984 234254801 255550692 270945312 340734256 383326038 406417968 468509602 511101384 681468512 702764403 766652076 812835936 937019204 1022202768 1405528806 1533304152 1874038408 2044405536 2108293209 2811057612 3066608304 3748076816 4216586418 5622115224 6133216608 7496153632 8433172836 11244230448 16866345672 22488460896 33732691344 67465382688