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64421843376 = 243112340113229
BaseRepresentation
bin111011111111110101…
…110101000110110000
320011021200001201112010
4323333311311012300
52023413442442001
645332303402520
74440301430232
oct737765650660
9204250051463
1064421843376
11253594a6480
121059a8b3440
1360c889a667
143191c56252
151a20a538d6
hexeffd751b0

64421843376 has 160 divisors (see below), whose sum is σ = 189932843520. Its totient is φ = 18625024000.

The previous prime is 64421843351. The next prime is 64421843389. The reversal of 64421843376 is 67334812446.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4863130 + ... + 4876358.

It is an arithmetic number, because the mean of its divisors is an integer number (1187080272).

Almost surely, 264421843376 is an apocalyptic number.

64421843376 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64421843376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94966421760).

64421843376 is an abundant number, since it is smaller than the sum of its proper divisors (125511000144).

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

64421843376 is a wasteful number, since it uses less digits than its factorization.

64421843376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13675 (or 13669 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The spelling of 64421843376 in words is "sixty-four billion, four hundred twenty-one million, eight hundred forty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 401 506 528 552 759 802 1012 1104 1203 1518 1604 2024 2406 3036 3208 4048 4411 4812 6072 6416 8822 9223 9624 12144 13229 13233 17644 18446 19248 26458 26466 27669 35288 36892 39687 52916 52932 55338 70576 73784 79374 101453 105832 105864 110676 145519 147568 158748 202906 211664 211728 221352 291038 304267 304359 317496 405812 436557 442704 582076 608534 608718 634992 811624 873114 912801 1164152 1217068 1217436 1623248 1746228 1825602 2328304 2434136 2434872 3346937 3492456 3651204 4868272 4869744 5304829 6693874 6984912 7302408 10040811 10609658 13387748 14604816 15914487 20081622 21219316 26775496 31828974 40163244 42438632 53550992 58353119 63657948 80326488 84877264 116706238 122011067 127315896 160652976 175059357 233412476 244022134 254631792 350118714 366033201 466824952 488044268 700237428 732066402 933649904 976088536 1342121737 1400474856 1464132804 1952177072 2684243474 2800949712 2928265608 4026365211 5368486948 5856531216 8052730422 10736973896 16105460844 21473947792 32210921688 64421843376