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64607420448 = 253383900929
BaseRepresentation
bin111100001010111001…
…110000000000100000
320011202121021000102000
4330022321300000200
52024303444423243
645402533124000
74445014004244
oct741271600040
9204677230360
1064607420448
112544422825a
1210630a89600
136128174b8c
1431ac762424
151a31eae5d3
hexf0ae70020

64607420448 has 96 divisors (see below), whose sum is σ = 190708862400. Its totient is φ = 21276315648.

The previous prime is 64607420429. The next prime is 64607420459. The reversal of 64607420448 is 84402470646.

64607420448 is a `hidden beast` number, since 64 + 60 + 74 + 20 + 448 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378753 + ... + 522176.

It is an arithmetic number, because the mean of its divisors is an integer number (1986550650).

Almost surely, 264607420448 is an apocalyptic number.

It is an amenable number.

64607420448 is an abundant number, since it is smaller than the sum of its proper divisors (126101441952).

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

64607420448 is a wasteful number, since it uses less digits than its factorization.

64607420448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901031 (or 901017 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 64607420448 in words is "sixty-four billion, six hundred seven million, four hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 664 747 864 996 1328 1494 1992 2241 2656 2988 3984 4482 5976 7968 8964 11952 17928 23904 35856 71712 900929 1801858 2702787 3603716 5405574 7207432 8108361 10811148 14414864 16216722 21622296 24325083 28829728 32433444 43244592 48650166 64866888 74777107 86489184 97300332 129733776 149554214 194600664 224331321 259467552 299108428 389201328 448662642 598216856 672993963 778402656 897325284 1196433712 1345987926 1794650568 2018981889 2392867424 2691975852 3589301136 4037963778 5383951704 7178602272 8075927556 10767903408 16151855112 21535806816 32303710224 64607420448