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64421636328 = 23327239674603
BaseRepresentation
bin111011111111110101…
…000010100011101000
320011021122200012111200
4323333311002203220
52023413414330303
645332255124200
74440266605500
oct737765024350
9204248605450
1064421636328
1125359374965
121059a813660
1360c882734a
143191c00a00
151a20a123a3
hexeffd428e8

64421636328 has 144 divisors (see below), whose sum is σ = 203056289280. Its totient is φ = 18397544256.

The previous prime is 64421636317. The next prime is 64421636351. The reversal of 64421636328 is 82363612446.

64421636328 is a `hidden beast` number, since 6 + 4 + 4 + 2 + 1 + 6 + 3 + 632 + 8 = 666.

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 35 ways as a sum of consecutive naturals, for example, 13993275 + ... + 13997877.

It is an arithmetic number, because the mean of its divisors is an integer number (1410113120).

Almost surely, 264421636328 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 64421636328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101528144640).

64421636328 is an abundant number, since it is smaller than the sum of its proper divisors (138634652952).

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

64421636328 is a wasteful number, since it uses less digits than its factorization.

64421636328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8596 (or 8582 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 64421636328 in words is "sixty-four billion, four hundred twenty-one million, six hundred thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 3967 4603 7934 9206 11901 13809 15868 18412 23802 27618 27769 31736 32221 35703 36824 41427 47604 55236 55538 64442 71406 82854 83307 95208 96663 110472 111076 128884 142812 165708 166614 193326 194383 222152 225547 249921 257768 285624 289989 331416 333228 386652 388766 451094 499842 579978 583149 666456 676641 773304 777532 902188 999684 1159956 1166298 1353282 1555064 1749447 1804376 1999368 2029923 2319912 2332596 2706564 3498894 4059846 4665192 5413128 6997788 8119692 13995576 16239384 18260101 36520202 54780303 73040404 109560606 127820707 146080808 164340909 219121212 255641414 328681818 383462121 438242424 511282828 657363636 766924242 894744949 1022565656 1150386363 1314727272 1533848484 1789489898 2300772726 2684234847 3067696968 3578979796 4601545452 5368469694 7157959592 8052704541 9203090904 10736939388 16105409082 21473878776 32210818164 64421636328