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64912162968 = 2334598232063
BaseRepresentation
bin111100011101000100…
…010000000010011000
320012112211200112120000
4330131010100002120
52030420003203333
645453100533000
74455404165352
oct743504200230
9205484615500
1064912162968
1125590250884
12106b6b51160
1361763434b3
1431db00c0d2
151a4db08713
hexf1d110098

64912162968 has 160 divisors (see below), whose sum is σ = 185210150400. Its totient is φ = 21234508992.

The previous prime is 64912162961. The next prime is 64912163047. The reversal of 64912162968 is 86926121946.

64912162968 is a `hidden beast` number, since 6 + 4 + 9 + 1 + 2 + 1 + 629 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64912162961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31463905 + ... + 31465967.

It is an arithmetic number, because the mean of its divisors is an integer number (1157563440).

Almost surely, 264912162968 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 64912162968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92605075200).

64912162968 is an abundant number, since it is smaller than the sum of its proper divisors (120297987432).

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

64912162968 is a wasteful number, since it uses less digits than its factorization.

64912162968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2950 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 64912162968 in words is "sixty-four billion, nine hundred twelve million, one hundred sixty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 324 354 472 531 648 708 823 1062 1416 1593 1646 2063 2124 2469 3186 3292 4126 4248 4779 4938 6189 6372 6584 7407 8252 9558 9876 12378 12744 14814 16504 18567 19116 19752 22221 24756 29628 37134 38232 44442 48557 49512 55701 59256 66663 74268 88884 97114 111402 121717 133326 145671 148536 167103 177768 194228 222804 243434 266652 291342 334206 365151 388456 437013 445608 486868 533304 582684 668412 730302 874026 973736 1095453 1165368 1311039 1336824 1460604 1697849 1748052 2190906 2622078 2921208 3286359 3395698 3496104 3933117 4381812 5093547 5244156 6572718 6791396 7866234 8763624 9859077 10187094 10488312 13145436 13582792 15280641 15732468 19718154 20374188 26290872 30561282 31464936 39436308 40748376 45841923 61122564 78872616 91683846 100173091 122245128 137525769 183367692 200346182 275051538 300519273 366735384 400692364 550103076 601038546 801384728 901557819 1100206152 1202077092 1803115638 2404154184 2704673457 3606231276 5409346914 7212462552 8114020371 10818693828 16228040742 21637387656 32456081484 64912162968