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64590154240 = 29550232
BaseRepresentation
bin111100001001110111…
…111000101000000000
320011201101202210121211
4330021313320220000
52024240034413430
645401115055504
74444414152403
oct741167705000
9204641683554
1064590154240
1125435504967
1210627141594
13612470aba1
1431aa349d3a
151a306ed72a
hexf09df8a00

64590154240 has 60 divisors (see below), whose sum is σ = 154895824314. Its totient is φ = 25830918144.

The previous prime is 64590154201. The next prime is 64590154249. The reversal of 64590154240 is 4245109546.

It can be written as a sum of positive squares in only one way, i.e., 58131138816 + 6459015424 = 241104^2 + 80368^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 64590154193 and 64590154202.

It is not an unprimeable number, because it can be changed into a prime (64590154249) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12856369 + ... + 12861391.

Almost surely, 264590154240 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 64590154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77447912157).

64590154240 is an abundant number, since it is smaller than the sum of its proper divisors (90305670074).

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

64590154240 is an frugal number, since it uses more digits than its factorization.

64590154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10069 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

Multiplying 64590154240 by its sum of digits (40), we get a square (2583606169600 = 16073602).

64590154240 divided by its sum of digits (40) gives a square (1614753856 = 401842).

The spelling of 64590154240 in words is "sixty-four billion, five hundred ninety million, one hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 5023 10046 20092 25115 40184 50230 80368 100460 160736 200920 321472 401840 642944 803680 1285888 1607360 2571776 3214720 6429440 12858880 25230529 50461058 100922116 126152645 201844232 252305290 403688464 504610580 807376928 1009221160 1614753856 2018442320 3229507712 4036884640 6459015424 8073769280 12918030848 16147538560 32295077120 64590154240