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64434304848 = 2437997283619
BaseRepresentation
bin111100000000100101…
…010111011101010000
320011022112111211110010
4330000211113131100
52023430140223343
645333430434520
74440512361114
oct740045273520
9204275454403
1064434304848
1125365537a11
12105a2b02a40
1360cb341704
14319377b744
151a21bb5d33
hexf00957750

64434304848 has 160 divisors (see below), whose sum is σ = 171177932800. Its totient is φ = 20879659008.

The previous prime is 64434304829. The next prime is 64434304969. The reversal of 64434304848 is 84840343446.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 64434304797 and 64434304806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104093883 + ... + 104094501.

It is an arithmetic number, because the mean of its divisors is an integer number (1069862080).

Almost surely, 264434304848 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 64434304848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85588966400).

64434304848 is an abundant number, since it is smaller than the sum of its proper divisors (106743627952).

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

64434304848 is a wasteful number, since it uses less digits than its factorization.

64434304848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 48.

The spelling of 64434304848 in words is "sixty-four billion, four hundred thirty-four million, three hundred four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 97 158 194 237 283 291 316 388 474 566 582 619 632 776 849 948 1132 1164 1238 1264 1552 1698 1857 1896 2264 2328 2476 3396 3714 3792 4528 4656 4952 6792 7428 7663 9904 13584 14856 15326 22357 22989 27451 29712 30652 44714 45978 48901 54902 60043 61304 67071 82353 89428 91956 97802 109804 120086 122608 134142 146703 164706 175177 178856 180129 183912 195604 219608 240172 268284 293406 329412 350354 357712 360258 367824 391208 439216 480344 525531 536568 586812 658824 700708 720516 782416 960688 1051062 1073136 1173624 1317648 1401416 1441032 2102124 2168629 2347248 2802832 2882064 4204248 4337258 4743397 6505887 8408496 8674516 9486794 13011774 13838983 14230191 16992169 17349032 18973588 26023548 27677966 28460382 33984338 34698064 37947176 41516949 50976507 52047096 55355932 56920764 67968676 75894352 83033898 101953014 104094192 110711864 113841528 135937352 166067796 203906028 221423728 227683056 271874704 332135592 407812056 664271184 815624112 1342381351 2684762702 4027144053 5369525404 8054288106 10739050808 16108576212 21478101616 32217152424 64434304848