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64491001632 = 253392980347
BaseRepresentation
bin111100000011111101…
…101001011100100000
320011110111012022211000
4330003331221130200
52024034144023012
645343213552000
74442101316631
oct740375513440
9204414168730
1064491001632
1125394542062
12105b9aa5600
13610a002cc5
14319b0d9888
151a26b64ddc
hexf03f69720

64491001632 has 96 divisors (see below), whose sum is σ = 188303572800. Its totient is φ = 21473593344.

The previous prime is 64491001609. The next prime is 64491001651. The reversal of 64491001632 is 23610019446.

64491001632 is a `hidden beast` number, since 6 + 4 + 4 + 9 + 10 + 0 + 1 + 632 = 666.

64491001632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762483 + ... + 842829.

It is an arithmetic number, because the mean of its divisors is an integer number (1961495550).

Almost surely, 264491001632 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 64491001632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94151786400).

64491001632 is an abundant number, since it is smaller than the sum of its proper divisors (123812571168).

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

64491001632 is a wasteful number, since it uses less digits than its factorization.

64491001632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81295 (or 81281 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 64491001632 in words is "sixty-four billion, four hundred ninety-one million, one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 929 1858 2787 3716 5574 7432 8361 11148 14864 16722 22296 25083 29728 33444 44592 50166 66888 80347 89184 100332 133776 160694 200664 241041 267552 321388 401328 482082 642776 723123 802656 964164 1285552 1446246 1928328 2169369 2571104 2892492 3856656 4338738 5784984 7713312 8677476 11569968 17354952 23139936 34709904 69419808 74642363 149284726 223927089 298569452 447854178 597138904 671781267 895708356 1194277808 1343562534 1791416712 2015343801 2388555616 2687125068 3582833424 4030687602 5374250136 7165666848 8061375204 10748500272 16122750408 21497000544 32245500816 64491001632