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64242466224 = 24329611395443
BaseRepresentation
bin111011110101001001…
…100011110110110000
320010211011112102022220
4323311021203312300
52023032032404344
645302415001040
74432662644616
oct736511436660
9203734472286
1064242466224
11252772197a2
121054a809180
13609a684131
1431760c16b6
151a0ee1ec19
hexef5263db0

64242466224 has 160 divisors (see below), whose sum is σ = 175784582400. Its totient is φ = 20186772480.

The previous prime is 64242466199. The next prime is 64242466237. The reversal of 64242466224 is 42266424246.

It is a happy number.

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

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, 11800047 + ... + 11805489.

It is an arithmetic number, because the mean of its divisors is an integer number (1098653640).

Almost surely, 264242466224 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 64242466224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87892291200).

64242466224 is an abundant number, since it is smaller than the sum of its proper divisors (111542116176).

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

64242466224 is a wasteful number, since it uses less digits than its factorization.

64242466224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683 (or 5677 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

The spelling of 64242466224 in words is "sixty-four billion, two hundred forty-two million, four hundred sixty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 61 87 116 122 139 174 183 232 244 278 348 366 417 464 488 556 696 732 834 976 1112 1392 1464 1668 1769 2224 2928 3336 3538 4031 5307 5443 6672 7076 8062 8479 10614 10886 12093 14152 16124 16329 16958 21228 21772 24186 25437 28304 32248 32658 33916 42456 43544 48372 50874 64496 65316 67832 84912 87088 96744 101748 130632 135664 157847 193488 203496 245891 261264 315694 332023 406992 473541 491782 631388 664046 737673 756577 947082 983564 996069 1262776 1328092 1475346 1513154 1894164 1967128 1992138 2269731 2525552 2656184 2950692 3026308 3788328 3934256 3984276 4539462 5312368 5901384 6052616 7576656 7968552 9078924 9628667 11802768 12105232 15937104 18157848 19257334 21940733 28886001 36315696 38514668 43881466 46151197 57772002 65822199 77029336 87762932 92302394 115544004 131644398 138453591 154058672 175525864 184604788 231088008 263288796 276907182 351051728 369209576 462176016 526577592 553814364 738419152 1053155184 1107628728 1338384713 2215257456 2676769426 4015154139 5353538852 8030308278 10707077704 16060616556 21414155408 32121233112 64242466224